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Dialogues between physics and mathematics : C. N. Yang At 100 / / edited by Mo-Lin Ge, Yang-Hui He
Dialogues between physics and mathematics : C. N. Yang At 100 / / edited by Mo-Lin Ge, Yang-Hui He
Pubbl/distr/stampa Cham, Switzerland : , : Springer, , [2022]
Descrizione fisica 1 online resource (324 pages)
Disciplina 780
Soggetto topico Mathematics
Física matemàtica
Soggetto genere / forma Llibres electrònics
ISBN 3-031-17523-9
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Intro -- Preface -- Acknowledgements -- Contents -- 1 Frank Yang at Stony Brook and the Beginning of Supergravity -- 1.1 Prologue -- 1.2 Frank Before Coming to Stony Brook -- 1.3 Early Years of Frank at Stony Brook -- 1.4 Supersymmetry and Quantum Gravity Before 1976 -- 1.5 Some Recollections of the Path to Supergravity at Stony Brook -- 1.6 Supergravity Lives! -- 1.7 Epilogue -- 1.8 Later Years of Frank at Stony Brook -- References -- 2 A Stacky Approach to Crystals -- 2.1 Introduction -- 2.1.1 A Theorem of Bhatt-Morrow-Scholze -- 2.1.2 A Generalization -- 2.1.3 Isocrystals -- 2.1.3.1 What We Mean by an Isocrystal -- 2.1.3.2 The Result on Isocrystals -- 2.1.3.3 ``Banachian Games'' and `3́9`42`"̇613A``45`47`"603ABunQ -- 2.2 Crystals and Crystalline Cohomology -- 2.2.1 A Class of Schemes -- 2.2.2 Some Simplicial Formal Schemes -- 2.2.2.1 The Simplicial Scheme P -- 2.2.2.2 The Simplicial Formal Scheme F -- 2.2.2.3 The Simplicial Formal Scheme A -- 2.2.3 Notation and Terminology Related to Quasi-Coherent Sheaves -- 2.2.3.1 p-adic Formal Schemes and Stacks -- 2.2.3.2 The Notation QCoh (Y) -- 2.2.3.3 Zp-Flatness -- 2.2.3.4 Finite Generation -- 2.2.3.5 Cohomology -- 2.2.3.6 Equivariant Objects -- 2.2.3.7 Objects of QCoh (Y ) as Sheaves -- 2.2.3.8 Proof of (2.2) -- 2.2.4 Formulation of the Results -- 2.2.4.1 Convention -- 2.2.5 Proof of Theorem 2.1(i) -- 2.2.5.1 The Simplicial Formal Scheme X -- 2.2.5.2 End of the Proof -- 2.2.6 Proof of Theorem 2.1(ii) -- 2.2.6.1 General Remark -- 2.2.6.2 The Functor in One Direction -- 2.2.6.3 Factorizing the Functor (2.8) -- 2.2.7 Proof of Theorem 2.1(iii) -- 2.2.7.1 General Remark -- 2.2.7.2 The Map in One Direction -- 2.2.7.3 End of the Proof -- 2.2.8 H0`3́9`42`"̇613A``45`47`"603Acris(X,O) and the Ring of Constants -- 2.2.8.1 The Ring of Constants -- 2.3 Isocrystals -- 2.3.1 A Class of Schemes.
2.3.1.1 The Ring of Constants -- 2.3.2 Coherent Crystals and Isocrystals -- 2.3.3 Local Projectivity -- 2.3.4 Proof of Proposition 2.4 -- 2.3.4.1 Strategy -- 2.3.5 Isocrystals as Vector Bundles -- 2.3.5.1 The Category `3́9`42`"̇613A``45`47`"603ABunQ(Y ) -- 2.3.5.2 Flat Descent for `3́9`42`"̇613A``45`47`"603ABunQ(Y ) -- 2.3.5.3 Equivariant Objects of `3́9`42`"̇613A``45`47`"603ABunQ(Y) -- 2.3.6 Banachian Games -- 2.3.6.1 One of the Goals -- 2.3.6.2 Proof of Theorem 2.2 -- 2.3.7 Proof of Propositions 2.5 and 2.6 -- Appendix -- The Isomorphism Between W(X`3́9`42`"̇613A``45`47`"603Aperf)/G and the Prismatization of X -- The Goal -- Prismatization of Semiperfect Fp-Schemes -- Perfect Case -- General Case -- The Morphism W(X`3́9`42`"̇613A``45`47`"603Aperf)`3́9`42`"̇613A``45`47`"603AWCartX -- The Čech Nerve of (2.30) -- References -- 3 The Potts Model, the Jones Polynomial and Link Homology -- 3.1 Introduction -- 3.2 Bracket Polynomial and Jones Polynomial -- 3.3 Khovanov Homology and the Cube Category -- 3.4 The Dichromatic Polynomial and the Potts Model -- 3.5 Khovanov Homology -- 3.6 Homology and the Potts Model -- 3.7 The Potts Model and Stosic's Categorification of the Dichromatic Polynomial -- 3.8 Imaginary Temperature, Real Time and Quantum Statistics -- References -- 4 The Penrose-Onsager-Yang Approach to Superconductivity and Superfluidity -- 4.1 Quantum Condensation: The Onsager-Penrose-Yang Approach -- 4.2 Some Considerations and Questions Raised by the Content of Sect.4.1 -- 4.3 What Is Special About Quantum Condensates? -- 4.4 Why Is Nature So Fond of ``Simple'' Quantum Condensation? Why Is ``Fragmentation'' So Rare? -- 4.5 When Does Fragmentation Occur? -- 4.6 Alternative Approaches to Quantum Condensation: Some Problems -- 4.6.1 ODLRO -- 4.6.2 Anomalous Averages -- 4.6.3 ``Spontaneously Broken U(1) Symmetry'' -- References.
5 Quantum Operads -- 5.1 Introduction and Brief Survey -- 5.2 Quantum Structures in Symmetric Monoidal Categories -- 5.2.1 Monoidal (=Tensor) Categories V (Sm16, Sec. 2.2, 2.3) -- 5.2.2 Symmetric Monoidal Categories -- 5.2.3 Magmas, Comagmas, Bimagmas, Associativity and Commutativity for (co, bi)magmas in Symmetric Monoidal Categories (Sm16, Sec. 2.4) -- 5.2.4 Monoids, Comonoids, Bimonoids, and Hopf Algebras in Symmetric MonoIdal Categories (Sm16, Def. 2.7) -- 5.2.5 Quantum Quasigroups (Sm16, Sec. 3.1) -- 5.2.6 Quantum Loops -- 5.2.7 Functoriality (Sm16, Prop. 3.4) -- 5.2.8 Magmas etc. in the Categories of Sets with Direct Product -- 5.3 Monoidal Categories of Operads -- 5.3.1 Graphs and Their Categories -- 5.3.2 Operads and Categories of Operads (See BoMa08, Sec. 1.6, p. 262) -- 5.3.3 Operads and Collections as Symmetric Monoidal Categories -- 5.3.4 Operads as Monoids -- 5.3.4.1 Freely Generated Operads -- 5.3.5 Comonoids in Operadic Setup -- 5.3.6 The Magmatic Operad (See ChCorGi19) -- 5.3.7 Quasigroup Monomials and Planar Trees -- 5.4 Moufang Loops and Operads -- 5.4.1 Moufang Monomials and Their Encoding by Labeled Graphs -- 5.4.2 Passage to Moufang Operad: Basic Identity -- 5.4.3 Moufang Collections (See BoMa08, Sec. 1.5, pp. 259-261) -- 5.4.4 Latin Square Designs and Their Encoding by Graphs -- 5.4.4.1 Simplest Examples -- 5.4.5 From Loops to Latin Square Designs -- 5.5 Operadic Structures on Quantum States -- 5.5.1 Operads of Classical and Quantum Probabilities -- 5.5.1.1 Averages as an Algebra Over the Operad P -- 5.5.1.2 A∞-Operad and Entropy -- 5.5.2 Classical Probabilities from Quantum States -- 5.5.3 Non-unital Operads -- 5.5.4 The QP-Operad of Quantum States -- 5.5.5 The Q-Operad of Quantum States -- 5.5.6 Trees of Projective Quantum Measurements -- 5.5.7 Entropy Functionals -- 5.5.8 A∞-Operad of Quantum Channels.
5.6 Operads and Almost-Symplectic Quantum Codes -- 5.6.1 Rational and Binary Little Square Operads -- 5.6.1.1 Binary Little Square Operad -- 5.6.1.2 Strict Binary Little Squares -- 5.6.2 Binary Little Square Operads and Almost Symplectic Spaces -- 5.6.3 Colored p-ary Little Squares -- 5.6.3.1 Operads and Almost-Symplectic Structures Over Fp -- 5.6.4 Operad Partial-Action on Quantum Codes -- References -- 6 Quantum Computational Complexity with Photons and Linear Optics -- 6.1 Introduction -- 6.2 The Mathematics: Permanent and Hafnian -- 6.2.1 Permanent -- 6.2.2 Hafnian -- 6.3 The Model: Boson Sampling -- 6.4 Single-Photon Boson Sampling Experiments -- 6.5 Quantum Computational Advantage with Jiuzhang -- 6.6 Applications -- References -- 7 Quantized Twistors, G2*, and the Split Octonions -- 7.1 A Key Motivation for the Formulation of Twistor Theory -- 7.2 The 2-Spinor Formalism -- 7.3 Projective Twistor Space -- 7.4 Twistor Kinematics -- 7.5 Quantized Twistor Theory and Masless Fields -- 7.6 Split Octonions and G2* -- References -- 8 Kronecker Anomalies and Gravitational Striction -- 8.1 Introduction and General Discussion -- 8.2 Kronecker Anomaly in Thermal Harmonic Oscillator -- Appendix -- Kronecker Anomaly in Electromagnetic Theory -- Mathematical Aspects of Kronecker Anomaly -- Two Dimensional Scalar Electrodynamics on a Torus -- Kronecker Anomaly in Spaces with Constant Curvature -- Absence of Kronecker Anomalies in Even Dimensional de Sitter Spaces -- De Sitter Lacuna -- References -- 9 Projecting Local and Global Symmetries to the Planck Scale -- 9.1 Introduction -- 9.2 Quantum Mechanics -- 9.3 Classical Models Underlying Quantum Mechanics -- 9.4 The Standard Model -- References -- 10 Gauge Symmetry in Shape Dynamics -- 10.1 Gauge Structure: Fundamental, Emergent, Productive -- 10.2 Dynamical Equation for Deformable Bodies.
10.2.1 Referenced Angular Momentum -- 10.2.2 Inertia Tensor and Angular Motion -- 10.2.3 Gauge Symmetry and Gauge Field -- 10.2.4 Dynamical Equation -- 10.2.5 Three Dimensional Notation -- 10.2.6 Specializations -- 10.2.7 Angular Momentum and Energy -- 10.3 Extensions -- 10.3.1 Blobs, Media, and Swarms -- 10.3.2 Molecules and Nuclei -- Appendix -- Direct Calculation -- References -- 11 Why Does Quantum Field Theory in Curved Spacetime Make Sense? And What Happens to the Algebra of Observables in the Thermodynamic Limit? -- 11.1 Introduction -- 11.2 Quantum Field Theory in Curved Spacetime -- 11.2.1 The Problem -- 11.2.2 Practicing with a Spin System -- 11.2.3 A System of Harmonic Oscillators -- 11.2.4 Back to Field Theory -- 11.2.5 What Is Quantum Field Theory in an Open Universe? -- 11.2.6 Non-Free Theories -- 11.3 Quantum Statistical Mechanics and the Thermodynamic Limit -- 11.3.1 The Thermofield Double -- 11.3.2 Surprises in the Thermodynamic Limit -- 11.3.3 Examples from Spin Systems -- 11.3.4 Relation to Quantum Field Theory -- 11.3.5 The Hagedorn Temperature -- 11.3.6 Density Matrices and Entropy -- 11.4 The Large N Limit and the Thermofield Double -- References -- 12 Quantum Anomalous Hall Effect -- 13 Magic Superconducting States in Cuprates -- References.
Record Nr. UNISA-996503551503316
Cham, Switzerland : , : Springer, , [2022]
Materiale a stampa
Lo trovi qui: Univ. di Salerno
Opac: Controlla la disponibilità qui
Dialogues between physics and mathematics : C. N. Yang At 100 / / edited by Mo-Lin Ge, Yang-Hui He
Dialogues between physics and mathematics : C. N. Yang At 100 / / edited by Mo-Lin Ge, Yang-Hui He
Pubbl/distr/stampa Cham, Switzerland : , : Springer, , [2022]
Descrizione fisica 1 online resource (324 pages)
Disciplina 780
Soggetto topico Mathematics
Física matemàtica
Soggetto genere / forma Llibres electrònics
ISBN 3-031-17523-9
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Intro -- Preface -- Acknowledgements -- Contents -- 1 Frank Yang at Stony Brook and the Beginning of Supergravity -- 1.1 Prologue -- 1.2 Frank Before Coming to Stony Brook -- 1.3 Early Years of Frank at Stony Brook -- 1.4 Supersymmetry and Quantum Gravity Before 1976 -- 1.5 Some Recollections of the Path to Supergravity at Stony Brook -- 1.6 Supergravity Lives! -- 1.7 Epilogue -- 1.8 Later Years of Frank at Stony Brook -- References -- 2 A Stacky Approach to Crystals -- 2.1 Introduction -- 2.1.1 A Theorem of Bhatt-Morrow-Scholze -- 2.1.2 A Generalization -- 2.1.3 Isocrystals -- 2.1.3.1 What We Mean by an Isocrystal -- 2.1.3.2 The Result on Isocrystals -- 2.1.3.3 ``Banachian Games'' and `3́9`42`"̇613A``45`47`"603ABunQ -- 2.2 Crystals and Crystalline Cohomology -- 2.2.1 A Class of Schemes -- 2.2.2 Some Simplicial Formal Schemes -- 2.2.2.1 The Simplicial Scheme P -- 2.2.2.2 The Simplicial Formal Scheme F -- 2.2.2.3 The Simplicial Formal Scheme A -- 2.2.3 Notation and Terminology Related to Quasi-Coherent Sheaves -- 2.2.3.1 p-adic Formal Schemes and Stacks -- 2.2.3.2 The Notation QCoh (Y) -- 2.2.3.3 Zp-Flatness -- 2.2.3.4 Finite Generation -- 2.2.3.5 Cohomology -- 2.2.3.6 Equivariant Objects -- 2.2.3.7 Objects of QCoh (Y ) as Sheaves -- 2.2.3.8 Proof of (2.2) -- 2.2.4 Formulation of the Results -- 2.2.4.1 Convention -- 2.2.5 Proof of Theorem 2.1(i) -- 2.2.5.1 The Simplicial Formal Scheme X -- 2.2.5.2 End of the Proof -- 2.2.6 Proof of Theorem 2.1(ii) -- 2.2.6.1 General Remark -- 2.2.6.2 The Functor in One Direction -- 2.2.6.3 Factorizing the Functor (2.8) -- 2.2.7 Proof of Theorem 2.1(iii) -- 2.2.7.1 General Remark -- 2.2.7.2 The Map in One Direction -- 2.2.7.3 End of the Proof -- 2.2.8 H0`3́9`42`"̇613A``45`47`"603Acris(X,O) and the Ring of Constants -- 2.2.8.1 The Ring of Constants -- 2.3 Isocrystals -- 2.3.1 A Class of Schemes.
2.3.1.1 The Ring of Constants -- 2.3.2 Coherent Crystals and Isocrystals -- 2.3.3 Local Projectivity -- 2.3.4 Proof of Proposition 2.4 -- 2.3.4.1 Strategy -- 2.3.5 Isocrystals as Vector Bundles -- 2.3.5.1 The Category `3́9`42`"̇613A``45`47`"603ABunQ(Y ) -- 2.3.5.2 Flat Descent for `3́9`42`"̇613A``45`47`"603ABunQ(Y ) -- 2.3.5.3 Equivariant Objects of `3́9`42`"̇613A``45`47`"603ABunQ(Y) -- 2.3.6 Banachian Games -- 2.3.6.1 One of the Goals -- 2.3.6.2 Proof of Theorem 2.2 -- 2.3.7 Proof of Propositions 2.5 and 2.6 -- Appendix -- The Isomorphism Between W(X`3́9`42`"̇613A``45`47`"603Aperf)/G and the Prismatization of X -- The Goal -- Prismatization of Semiperfect Fp-Schemes -- Perfect Case -- General Case -- The Morphism W(X`3́9`42`"̇613A``45`47`"603Aperf)`3́9`42`"̇613A``45`47`"603AWCartX -- The Čech Nerve of (2.30) -- References -- 3 The Potts Model, the Jones Polynomial and Link Homology -- 3.1 Introduction -- 3.2 Bracket Polynomial and Jones Polynomial -- 3.3 Khovanov Homology and the Cube Category -- 3.4 The Dichromatic Polynomial and the Potts Model -- 3.5 Khovanov Homology -- 3.6 Homology and the Potts Model -- 3.7 The Potts Model and Stosic's Categorification of the Dichromatic Polynomial -- 3.8 Imaginary Temperature, Real Time and Quantum Statistics -- References -- 4 The Penrose-Onsager-Yang Approach to Superconductivity and Superfluidity -- 4.1 Quantum Condensation: The Onsager-Penrose-Yang Approach -- 4.2 Some Considerations and Questions Raised by the Content of Sect.4.1 -- 4.3 What Is Special About Quantum Condensates? -- 4.4 Why Is Nature So Fond of ``Simple'' Quantum Condensation? Why Is ``Fragmentation'' So Rare? -- 4.5 When Does Fragmentation Occur? -- 4.6 Alternative Approaches to Quantum Condensation: Some Problems -- 4.6.1 ODLRO -- 4.6.2 Anomalous Averages -- 4.6.3 ``Spontaneously Broken U(1) Symmetry'' -- References.
5 Quantum Operads -- 5.1 Introduction and Brief Survey -- 5.2 Quantum Structures in Symmetric Monoidal Categories -- 5.2.1 Monoidal (=Tensor) Categories V (Sm16, Sec. 2.2, 2.3) -- 5.2.2 Symmetric Monoidal Categories -- 5.2.3 Magmas, Comagmas, Bimagmas, Associativity and Commutativity for (co, bi)magmas in Symmetric Monoidal Categories (Sm16, Sec. 2.4) -- 5.2.4 Monoids, Comonoids, Bimonoids, and Hopf Algebras in Symmetric MonoIdal Categories (Sm16, Def. 2.7) -- 5.2.5 Quantum Quasigroups (Sm16, Sec. 3.1) -- 5.2.6 Quantum Loops -- 5.2.7 Functoriality (Sm16, Prop. 3.4) -- 5.2.8 Magmas etc. in the Categories of Sets with Direct Product -- 5.3 Monoidal Categories of Operads -- 5.3.1 Graphs and Their Categories -- 5.3.2 Operads and Categories of Operads (See BoMa08, Sec. 1.6, p. 262) -- 5.3.3 Operads and Collections as Symmetric Monoidal Categories -- 5.3.4 Operads as Monoids -- 5.3.4.1 Freely Generated Operads -- 5.3.5 Comonoids in Operadic Setup -- 5.3.6 The Magmatic Operad (See ChCorGi19) -- 5.3.7 Quasigroup Monomials and Planar Trees -- 5.4 Moufang Loops and Operads -- 5.4.1 Moufang Monomials and Their Encoding by Labeled Graphs -- 5.4.2 Passage to Moufang Operad: Basic Identity -- 5.4.3 Moufang Collections (See BoMa08, Sec. 1.5, pp. 259-261) -- 5.4.4 Latin Square Designs and Their Encoding by Graphs -- 5.4.4.1 Simplest Examples -- 5.4.5 From Loops to Latin Square Designs -- 5.5 Operadic Structures on Quantum States -- 5.5.1 Operads of Classical and Quantum Probabilities -- 5.5.1.1 Averages as an Algebra Over the Operad P -- 5.5.1.2 A∞-Operad and Entropy -- 5.5.2 Classical Probabilities from Quantum States -- 5.5.3 Non-unital Operads -- 5.5.4 The QP-Operad of Quantum States -- 5.5.5 The Q-Operad of Quantum States -- 5.5.6 Trees of Projective Quantum Measurements -- 5.5.7 Entropy Functionals -- 5.5.8 A∞-Operad of Quantum Channels.
5.6 Operads and Almost-Symplectic Quantum Codes -- 5.6.1 Rational and Binary Little Square Operads -- 5.6.1.1 Binary Little Square Operad -- 5.6.1.2 Strict Binary Little Squares -- 5.6.2 Binary Little Square Operads and Almost Symplectic Spaces -- 5.6.3 Colored p-ary Little Squares -- 5.6.3.1 Operads and Almost-Symplectic Structures Over Fp -- 5.6.4 Operad Partial-Action on Quantum Codes -- References -- 6 Quantum Computational Complexity with Photons and Linear Optics -- 6.1 Introduction -- 6.2 The Mathematics: Permanent and Hafnian -- 6.2.1 Permanent -- 6.2.2 Hafnian -- 6.3 The Model: Boson Sampling -- 6.4 Single-Photon Boson Sampling Experiments -- 6.5 Quantum Computational Advantage with Jiuzhang -- 6.6 Applications -- References -- 7 Quantized Twistors, G2*, and the Split Octonions -- 7.1 A Key Motivation for the Formulation of Twistor Theory -- 7.2 The 2-Spinor Formalism -- 7.3 Projective Twistor Space -- 7.4 Twistor Kinematics -- 7.5 Quantized Twistor Theory and Masless Fields -- 7.6 Split Octonions and G2* -- References -- 8 Kronecker Anomalies and Gravitational Striction -- 8.1 Introduction and General Discussion -- 8.2 Kronecker Anomaly in Thermal Harmonic Oscillator -- Appendix -- Kronecker Anomaly in Electromagnetic Theory -- Mathematical Aspects of Kronecker Anomaly -- Two Dimensional Scalar Electrodynamics on a Torus -- Kronecker Anomaly in Spaces with Constant Curvature -- Absence of Kronecker Anomalies in Even Dimensional de Sitter Spaces -- De Sitter Lacuna -- References -- 9 Projecting Local and Global Symmetries to the Planck Scale -- 9.1 Introduction -- 9.2 Quantum Mechanics -- 9.3 Classical Models Underlying Quantum Mechanics -- 9.4 The Standard Model -- References -- 10 Gauge Symmetry in Shape Dynamics -- 10.1 Gauge Structure: Fundamental, Emergent, Productive -- 10.2 Dynamical Equation for Deformable Bodies.
10.2.1 Referenced Angular Momentum -- 10.2.2 Inertia Tensor and Angular Motion -- 10.2.3 Gauge Symmetry and Gauge Field -- 10.2.4 Dynamical Equation -- 10.2.5 Three Dimensional Notation -- 10.2.6 Specializations -- 10.2.7 Angular Momentum and Energy -- 10.3 Extensions -- 10.3.1 Blobs, Media, and Swarms -- 10.3.2 Molecules and Nuclei -- Appendix -- Direct Calculation -- References -- 11 Why Does Quantum Field Theory in Curved Spacetime Make Sense? And What Happens to the Algebra of Observables in the Thermodynamic Limit? -- 11.1 Introduction -- 11.2 Quantum Field Theory in Curved Spacetime -- 11.2.1 The Problem -- 11.2.2 Practicing with a Spin System -- 11.2.3 A System of Harmonic Oscillators -- 11.2.4 Back to Field Theory -- 11.2.5 What Is Quantum Field Theory in an Open Universe? -- 11.2.6 Non-Free Theories -- 11.3 Quantum Statistical Mechanics and the Thermodynamic Limit -- 11.3.1 The Thermofield Double -- 11.3.2 Surprises in the Thermodynamic Limit -- 11.3.3 Examples from Spin Systems -- 11.3.4 Relation to Quantum Field Theory -- 11.3.5 The Hagedorn Temperature -- 11.3.6 Density Matrices and Entropy -- 11.4 The Large N Limit and the Thermofield Double -- References -- 12 Quantum Anomalous Hall Effect -- 13 Magic Superconducting States in Cuprates -- References.
Record Nr. UNINA-9910634035903321
Cham, Switzerland : , : Springer, , [2022]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Differential geometry and physics [[electronic resource] ] : proceedings of the 23rd International Conference of Differential Geometric Methods in Theoretical Physics, Tianjin, China, 20-26 August 2005 / / editors, Mo-Lin Ge & Weiping Zhang
Differential geometry and physics [[electronic resource] ] : proceedings of the 23rd International Conference of Differential Geometric Methods in Theoretical Physics, Tianjin, China, 20-26 August 2005 / / editors, Mo-Lin Ge & Weiping Zhang
Pubbl/distr/stampa Hackensack, NJ, : World Scientific, c2006
Descrizione fisica 1 online resource (542 p.)
Disciplina 516.3/6
Altri autori (Persone) GeM. L (Mo-Lin)
ZhangWeiping <1964->
Collana Nankai tracts in mathematics
Soggetto topico Geometry, Differential
Mathematical physics
Soggetto genere / forma Electronic books.
ISBN 1-281-91206-9
9786611912062
981-277-252-9
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto CONTENTS ; Foreword by Michael Atiyah ; Foreword by Chen Ning Yang ; Preface ; Plenary Lectures ; Yangian and Applications ; The hypoelliptic Laplacian and Chern-Gauss-Bonnet; S. S. Chern and Chern-Simons Terms ; Localization and Conjectures from String Duality
Topologization of Electron Liquids with Chern-Simons Theory and Quantum Computation Invited Contributions ; Quasicrystals: Projections of 5-d Lattice into 2 and 3 Dimensions ; Theoretical Analysis of the Double Spin Chain Compound KCuCl3; Applications of Geometric Cluster Algorithms
Equivariant Cohomology and Localization for Lie Algebroids and Applications Directed Percolation in Two Dimensions: An Exact Solution ; Generalized Drinfeld Polynomials for Highest Weight Vectors of the Borel Subalgebra of the sl2 Loop Algebra; On the Physical Significance of q-deformation in Many-body Physics
A Matrix Product Ansatz Solution of an Exactly Solvable Interacting Vertex Model A 2h-dimensional Model with Virasoro Symmetry ; 3-dimensional Integrable Lattice Models and the Bazhanov- Stroganov Model ; Exact Solution of Two Planar Polygon Models
Quasi-exact Solvability of Dirac Equations Exotic Galilean Symmetry, Non-commutativity & the Hall Effect ; The Energy-momentum and Related Topics in Gravitational Radiation ; Quantum Operators and Hermitian Vector Fields ; Electric-magnetic Duality Beyond Four Dimensions and in General Relativity
Topology and Quantum Information
Record Nr. UNINA-9910458657103321
Hackensack, NJ, : World Scientific, c2006
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Differential geometry and physics [[electronic resource] ] : proceedings of the 23rd International Conference of Differential Geometric Methods in Theoretical Physics, Tianjin, China, 20-26 August 2005 / / editors, Mo-Lin Ge & Weiping Zhang
Differential geometry and physics [[electronic resource] ] : proceedings of the 23rd International Conference of Differential Geometric Methods in Theoretical Physics, Tianjin, China, 20-26 August 2005 / / editors, Mo-Lin Ge & Weiping Zhang
Pubbl/distr/stampa Hackensack, NJ, : World Scientific, c2006
Descrizione fisica 1 online resource (542 p.)
Disciplina 516.3/6
Altri autori (Persone) GeM. L (Mo-Lin)
ZhangWeiping <1964->
Collana Nankai tracts in mathematics
Soggetto topico Geometry, Differential
Mathematical physics
ISBN 1-281-91206-9
9786611912062
981-277-252-9
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto CONTENTS ; Foreword by Michael Atiyah ; Foreword by Chen Ning Yang ; Preface ; Plenary Lectures ; Yangian and Applications ; The hypoelliptic Laplacian and Chern-Gauss-Bonnet; S. S. Chern and Chern-Simons Terms ; Localization and Conjectures from String Duality
Topologization of Electron Liquids with Chern-Simons Theory and Quantum Computation Invited Contributions ; Quasicrystals: Projections of 5-d Lattice into 2 and 3 Dimensions ; Theoretical Analysis of the Double Spin Chain Compound KCuCl3; Applications of Geometric Cluster Algorithms
Equivariant Cohomology and Localization for Lie Algebroids and Applications Directed Percolation in Two Dimensions: An Exact Solution ; Generalized Drinfeld Polynomials for Highest Weight Vectors of the Borel Subalgebra of the sl2 Loop Algebra; On the Physical Significance of q-deformation in Many-body Physics
A Matrix Product Ansatz Solution of an Exactly Solvable Interacting Vertex Model A 2h-dimensional Model with Virasoro Symmetry ; 3-dimensional Integrable Lattice Models and the Bazhanov- Stroganov Model ; Exact Solution of Two Planar Polygon Models
Quasi-exact Solvability of Dirac Equations Exotic Galilean Symmetry, Non-commutativity & the Hall Effect ; The Energy-momentum and Related Topics in Gravitational Radiation ; Quantum Operators and Hermitian Vector Fields ; Electric-magnetic Duality Beyond Four Dimensions and in General Relativity
Topology and Quantum Information
Record Nr. UNINA-9910784757203321
Hackensack, NJ, : World Scientific, c2006
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Differential geometry and physics : proceedings of the 23rd International Conference of Differential Geometric Methods in Theoretical Physics, Tianjin, China, 20-26 August 2005 / / editors, Mo-Lin Ge & Weiping Zhang
Differential geometry and physics : proceedings of the 23rd International Conference of Differential Geometric Methods in Theoretical Physics, Tianjin, China, 20-26 August 2005 / / editors, Mo-Lin Ge & Weiping Zhang
Edizione [1st ed.]
Pubbl/distr/stampa Hackensack, NJ, : World Scientific, c2006
Descrizione fisica 1 online resource (542 p.)
Disciplina 516.3/6
Altri autori (Persone) GeM. L (Mo-Lin)
ZhangWeiping <1964->
Collana Nankai tracts in mathematics
Soggetto topico Geometry, Differential
Mathematical physics
ISBN 1-281-91206-9
9786611912062
981-277-252-9
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto CONTENTS ; Foreword by Michael Atiyah ; Foreword by Chen Ning Yang ; Preface ; Plenary Lectures ; Yangian and Applications ; The hypoelliptic Laplacian and Chern-Gauss-Bonnet; S. S. Chern and Chern-Simons Terms ; Localization and Conjectures from String Duality
Topologization of Electron Liquids with Chern-Simons Theory and Quantum Computation Invited Contributions ; Quasicrystals: Projections of 5-d Lattice into 2 and 3 Dimensions ; Theoretical Analysis of the Double Spin Chain Compound KCuCl3; Applications of Geometric Cluster Algorithms
Equivariant Cohomology and Localization for Lie Algebroids and Applications Directed Percolation in Two Dimensions: An Exact Solution ; Generalized Drinfeld Polynomials for Highest Weight Vectors of the Borel Subalgebra of the sl2 Loop Algebra; On the Physical Significance of q-deformation in Many-body Physics
A Matrix Product Ansatz Solution of an Exactly Solvable Interacting Vertex Model A 2h-dimensional Model with Virasoro Symmetry ; 3-dimensional Integrable Lattice Models and the Bazhanov- Stroganov Model ; Exact Solution of Two Planar Polygon Models
Quasi-exact Solvability of Dirac Equations Exotic Galilean Symmetry, Non-commutativity & the Hall Effect ; The Energy-momentum and Related Topics in Gravitational Radiation ; Quantum Operators and Hermitian Vector Fields ; Electric-magnetic Duality Beyond Four Dimensions and in General Relativity
Topology and Quantum Information
Altri titoli varianti Proceedings of the 23rd International Conference of Differential Geometric Methods in Theoretical Physics, Tianjin, China, 20-26 August 2005
Record Nr. UNINA-9910824298203321
Hackensack, NJ, : World Scientific, c2006
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Quantized algebra and physics [[electronic resource] ] : proceedings of the International Workshop on Quantized Algebra and Physics, Tianjin, China, 23-26 July 2009 / / edited by Mo-Lin Ge, Chengming Bai, Naihuan Jing
Quantized algebra and physics [[electronic resource] ] : proceedings of the International Workshop on Quantized Algebra and Physics, Tianjin, China, 23-26 July 2009 / / edited by Mo-Lin Ge, Chengming Bai, Naihuan Jing
Pubbl/distr/stampa Hackensack, N.J., : World Scientific, 2012
Descrizione fisica 1 online resource (215 p.)
Disciplina 530.143
Altri autori (Persone) BaiChengming
GeM. L (Mo-Lin)
JingNaihuan
Collana Nankai series in pure, applied mathematics and theoretical physics
Soggetto topico Quantum groups
Physics
Quantum theory
Soggetto genere / forma Electronic books.
ISBN 981-4340-45-6
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Preface; CONTENTS; Programs; A Note on Brauer-Schur Functions Kazuya Aokage, Hiroshi Mizukawa and Hiro-Fumi Yamada; 1. Introduction; 2. Brauer-Schur functions; 3. Cauchy type formula; 4. Monomial expansion; References; O-Operators on Associative Algebras, Associative Yang-Baxter Equations and Dendriform Algebras Chengming Bai, Li Guo and Xiang Ni; 1. Introduction; 1.1. Rota-Baxter algebras, Yang-Baxter equations and dendriform algebras; 1.2. O-operators and layout of the paper; 2. O-operators and extended O-operators; 2.1. Bimodules and A-bimodule k-algebras; 2.2. Extended O-operators
2.2.1. O-operators2.2.2. Balanced homomorphisms; 2.2.3. Extended O-operators; 2.3. Extended O-operators, O-operators and Rota-Baxter operators: the first connection; 3. Extended O-operators and AYBE; 3.1. Extended AYBE; 3.2. From EAYBE to Extended O-operators; 3.3. From extended O-operators to EAYBE; 3.3.1. The general case; 3.3.2. The case of Frobenius algebras; 4. Antisymmetric infinitesimal bialgebras and generalized AYBE; 4.1. Antisymmetric infinitesimal bialgebras, generalized AYBE and extended O-operators; 4.2. Factorizable quasitriangular antisymmetric infinitesimal bialgebras
5. O-operators and dendriform algebras5.1. Rota-Baxter algebras and dendriform algebras; 5.2. From O-operators to dendriform algebras on the domains; 5.3. From O-operators to dendriform algebras on the ranges; 6. O-operators, Rota-Baxter operators, relative differential operators, dendriform algebras and AYBEs; 6.1. O-operators and Rota-Baxter operators: the second connection; 6.2. Relative differential operators and Rota-Baxter operators; 6.3. Characterizations of dendriform algebras in terms of bimodules and associativity; 6.4. Dendriform algebras and AYBEs; Acknowledgements; References
Irreducible Wakimoto-like Modules for the Affine Lie Algebra gln Yun Gao and Ziting Zeng1. Introduction; 2. Finite dimensional case; 3. Affine case; References; Verma Modules over Generic Exp-Polynomial Lie Algebras Xiangqian Guo, Xuewen Liu and Kaiming Zhao; 1. Introduction; 2. Main results and applications; 3. Properties on generic exp-polynomial functions; 4. Verma modules over generic exp-polynomial Lie algebras; Acknowledgments; References; A Formal Infinite Dimensional Cauchy Problem and its Relation to Integrable Hierarchies G. F. Helminck, E. A. Panasenko and A. O. Sergeeva
1. Introduction2. The finite dimensional setting; 3. The Cauchy problem: infinite dimensional case; 4. The Cauchy problem in integrable hierarchies; 4.1. Lower triangular matrices; 4.2. The Lax equations of the ( k, h 0)-hierarchy; 4.3. The zero curvature form of the hierarchy; 4.4. Wave matrices for the ( k, h 0)-hierarchy; 4.5. The relation with Cauchy problems; References; Partially Harmonic Tensors and Quantized Schur-Weyl Duality Jun Hu and Zhankui Xiao; 1. Introduction; 2. Quantized Enveloping Algebra and BMW Algebra; Acknowledgments; References
Quantum Entanglement and Approximation by Positive Matrices Xiaofen Huang and Naihuan Jing
Record Nr. UNINA-9910457528503321
Hackensack, N.J., : World Scientific, 2012
Materiale a stampa
Lo trovi qui: Univ. Federico II
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Quantized algebra and physics [[electronic resource] ] : proceedings of the International Workshop on Quantized Algebra and Physics, Tianjin, China, 23-26 July 2009 / / edited by Mo-Lin Ge, Chengming Bai, Naihuan Jing
Quantized algebra and physics [[electronic resource] ] : proceedings of the International Workshop on Quantized Algebra and Physics, Tianjin, China, 23-26 July 2009 / / edited by Mo-Lin Ge, Chengming Bai, Naihuan Jing
Pubbl/distr/stampa Hackensack, N.J., : World Scientific, 2012
Descrizione fisica 1 online resource (215 p.)
Disciplina 530.143
Altri autori (Persone) BaiChengming
GeM. L (Mo-Lin)
JingNaihuan
Collana Nankai series in pure, applied mathematics and theoretical physics
Soggetto topico Quantum groups
Physics
Quantum theory
ISBN 981-4340-45-6
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Preface; CONTENTS; Programs; A Note on Brauer-Schur Functions Kazuya Aokage, Hiroshi Mizukawa and Hiro-Fumi Yamada; 1. Introduction; 2. Brauer-Schur functions; 3. Cauchy type formula; 4. Monomial expansion; References; O-Operators on Associative Algebras, Associative Yang-Baxter Equations and Dendriform Algebras Chengming Bai, Li Guo and Xiang Ni; 1. Introduction; 1.1. Rota-Baxter algebras, Yang-Baxter equations and dendriform algebras; 1.2. O-operators and layout of the paper; 2. O-operators and extended O-operators; 2.1. Bimodules and A-bimodule k-algebras; 2.2. Extended O-operators
2.2.1. O-operators2.2.2. Balanced homomorphisms; 2.2.3. Extended O-operators; 2.3. Extended O-operators, O-operators and Rota-Baxter operators: the first connection; 3. Extended O-operators and AYBE; 3.1. Extended AYBE; 3.2. From EAYBE to Extended O-operators; 3.3. From extended O-operators to EAYBE; 3.3.1. The general case; 3.3.2. The case of Frobenius algebras; 4. Antisymmetric infinitesimal bialgebras and generalized AYBE; 4.1. Antisymmetric infinitesimal bialgebras, generalized AYBE and extended O-operators; 4.2. Factorizable quasitriangular antisymmetric infinitesimal bialgebras
5. O-operators and dendriform algebras5.1. Rota-Baxter algebras and dendriform algebras; 5.2. From O-operators to dendriform algebras on the domains; 5.3. From O-operators to dendriform algebras on the ranges; 6. O-operators, Rota-Baxter operators, relative differential operators, dendriform algebras and AYBEs; 6.1. O-operators and Rota-Baxter operators: the second connection; 6.2. Relative differential operators and Rota-Baxter operators; 6.3. Characterizations of dendriform algebras in terms of bimodules and associativity; 6.4. Dendriform algebras and AYBEs; Acknowledgements; References
Irreducible Wakimoto-like Modules for the Affine Lie Algebra gln Yun Gao and Ziting Zeng1. Introduction; 2. Finite dimensional case; 3. Affine case; References; Verma Modules over Generic Exp-Polynomial Lie Algebras Xiangqian Guo, Xuewen Liu and Kaiming Zhao; 1. Introduction; 2. Main results and applications; 3. Properties on generic exp-polynomial functions; 4. Verma modules over generic exp-polynomial Lie algebras; Acknowledgments; References; A Formal Infinite Dimensional Cauchy Problem and its Relation to Integrable Hierarchies G. F. Helminck, E. A. Panasenko and A. O. Sergeeva
1. Introduction2. The finite dimensional setting; 3. The Cauchy problem: infinite dimensional case; 4. The Cauchy problem in integrable hierarchies; 4.1. Lower triangular matrices; 4.2. The Lax equations of the ( k, h 0)-hierarchy; 4.3. The zero curvature form of the hierarchy; 4.4. Wave matrices for the ( k, h 0)-hierarchy; 4.5. The relation with Cauchy problems; References; Partially Harmonic Tensors and Quantized Schur-Weyl Duality Jun Hu and Zhankui Xiao; 1. Introduction; 2. Quantized Enveloping Algebra and BMW Algebra; Acknowledgments; References
Quantum Entanglement and Approximation by Positive Matrices Xiaofen Huang and Naihuan Jing
Record Nr. UNINA-9910779067003321
Hackensack, N.J., : World Scientific, 2012
Materiale a stampa
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Quantized algebra and physics : proceedings of the International Workshop on Quantized Algebra and Physics, Tianjin, China, 23-26 July 2009 / / edited by Mo-Lin Ge, Chengming Bai, Naihuan Jing
Quantized algebra and physics : proceedings of the International Workshop on Quantized Algebra and Physics, Tianjin, China, 23-26 July 2009 / / edited by Mo-Lin Ge, Chengming Bai, Naihuan Jing
Edizione [1st ed.]
Pubbl/distr/stampa Hackensack, N.J., : World Scientific, 2012
Descrizione fisica 1 online resource (215 p.)
Disciplina 530.143
Altri autori (Persone) BaiChengming
GeM. L (Mo-Lin)
JingNaihuan
Collana Nankai series in pure, applied mathematics and theoretical physics
Soggetto topico Quantum groups
Physics
Quantum theory
ISBN 981-4340-45-6
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Preface; CONTENTS; Programs; A Note on Brauer-Schur Functions Kazuya Aokage, Hiroshi Mizukawa and Hiro-Fumi Yamada; 1. Introduction; 2. Brauer-Schur functions; 3. Cauchy type formula; 4. Monomial expansion; References; O-Operators on Associative Algebras, Associative Yang-Baxter Equations and Dendriform Algebras Chengming Bai, Li Guo and Xiang Ni; 1. Introduction; 1.1. Rota-Baxter algebras, Yang-Baxter equations and dendriform algebras; 1.2. O-operators and layout of the paper; 2. O-operators and extended O-operators; 2.1. Bimodules and A-bimodule k-algebras; 2.2. Extended O-operators
2.2.1. O-operators2.2.2. Balanced homomorphisms; 2.2.3. Extended O-operators; 2.3. Extended O-operators, O-operators and Rota-Baxter operators: the first connection; 3. Extended O-operators and AYBE; 3.1. Extended AYBE; 3.2. From EAYBE to Extended O-operators; 3.3. From extended O-operators to EAYBE; 3.3.1. The general case; 3.3.2. The case of Frobenius algebras; 4. Antisymmetric infinitesimal bialgebras and generalized AYBE; 4.1. Antisymmetric infinitesimal bialgebras, generalized AYBE and extended O-operators; 4.2. Factorizable quasitriangular antisymmetric infinitesimal bialgebras
5. O-operators and dendriform algebras5.1. Rota-Baxter algebras and dendriform algebras; 5.2. From O-operators to dendriform algebras on the domains; 5.3. From O-operators to dendriform algebras on the ranges; 6. O-operators, Rota-Baxter operators, relative differential operators, dendriform algebras and AYBEs; 6.1. O-operators and Rota-Baxter operators: the second connection; 6.2. Relative differential operators and Rota-Baxter operators; 6.3. Characterizations of dendriform algebras in terms of bimodules and associativity; 6.4. Dendriform algebras and AYBEs; Acknowledgements; References
Irreducible Wakimoto-like Modules for the Affine Lie Algebra gln Yun Gao and Ziting Zeng1. Introduction; 2. Finite dimensional case; 3. Affine case; References; Verma Modules over Generic Exp-Polynomial Lie Algebras Xiangqian Guo, Xuewen Liu and Kaiming Zhao; 1. Introduction; 2. Main results and applications; 3. Properties on generic exp-polynomial functions; 4. Verma modules over generic exp-polynomial Lie algebras; Acknowledgments; References; A Formal Infinite Dimensional Cauchy Problem and its Relation to Integrable Hierarchies G. F. Helminck, E. A. Panasenko and A. O. Sergeeva
1. Introduction2. The finite dimensional setting; 3. The Cauchy problem: infinite dimensional case; 4. The Cauchy problem in integrable hierarchies; 4.1. Lower triangular matrices; 4.2. The Lax equations of the ( k, h 0)-hierarchy; 4.3. The zero curvature form of the hierarchy; 4.4. Wave matrices for the ( k, h 0)-hierarchy; 4.5. The relation with Cauchy problems; References; Partially Harmonic Tensors and Quantized Schur-Weyl Duality Jun Hu and Zhankui Xiao; 1. Introduction; 2. Quantized Enveloping Algebra and BMW Algebra; Acknowledgments; References
Quantum Entanglement and Approximation by Positive Matrices Xiaofen Huang and Naihuan Jing
Record Nr. UNINA-9910825173703321
Hackensack, N.J., : World Scientific, 2012
Materiale a stampa
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Statistical physics, high energy, condensed matter and mathematical physics [[electronic resource] ] : proceedings of the conference in honor of C.N. Yang's 85th birthday, Singapore, 31 October - 3 November 2007 / / editors, M.-L. Ge, C.H. Oh, K.K. Phua
Statistical physics, high energy, condensed matter and mathematical physics [[electronic resource] ] : proceedings of the conference in honor of C.N. Yang's 85th birthday, Singapore, 31 October - 3 November 2007 / / editors, M.-L. Ge, C.H. Oh, K.K. Phua
Pubbl/distr/stampa Singapore ; ; Hackensack, NJ, : World Scientific, c2008
Descrizione fisica 1 online resource (581 p.)
Disciplina 530.13
Altri autori (Persone) GeM. L (Mo-Lin)
OhC. H
PhuaK. K
YangChen Ning <1922->
Soggetto topico Condensed matter
Mathematical physics
Particles (Nuclear physics)
Statistical physics
Soggetto genere / forma Electronic books.
ISBN 1-282-44095-0
9786612440953
981-279-418-2
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Preface; CONTENTS; Photographs; High Energies and Field Theories; Statistical Physics, Condensed Matter and Biophysics; Quantum Physics; Other Topics; Contributed Talks; List of Participants
Record Nr. UNINA-9910456702403321
Singapore ; ; Hackensack, NJ, : World Scientific, c2008
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Statistical physics, high energy, condensed matter and mathematical physics [[electronic resource] ] : proceedings of the conference in honor of C.N. Yang's 85th birthday, Singapore, 31 October - 3 November 2007 / / editors, M.-L. Ge, C.H. Oh, K.K. Phua
Statistical physics, high energy, condensed matter and mathematical physics [[electronic resource] ] : proceedings of the conference in honor of C.N. Yang's 85th birthday, Singapore, 31 October - 3 November 2007 / / editors, M.-L. Ge, C.H. Oh, K.K. Phua
Pubbl/distr/stampa Singapore ; ; Hackensack, NJ, : World Scientific, c2008
Descrizione fisica 1 online resource (581 p.)
Disciplina 530.13
Altri autori (Persone) GeM. L (Mo-Lin)
OhC. H
PhuaK. K
YangChen Ning <1922->
Soggetto topico Condensed matter
Mathematical physics
Particles (Nuclear physics)
Statistical physics
ISBN 1-282-44095-0
9786612440953
981-279-418-2
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Preface; CONTENTS; Photographs; High Energies and Field Theories; Statistical Physics, Condensed Matter and Biophysics; Quantum Physics; Other Topics; Contributed Talks; List of Participants
Record Nr. UNINA-9910780807603321
Singapore ; ; Hackensack, NJ, : World Scientific, c2008
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui