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The generalized triangle inequalities in symmetric spaces and buildings with applications to algebra / / Michael Kapovich, Bernhard Leeb, John J. Millson
| The generalized triangle inequalities in symmetric spaces and buildings with applications to algebra / / Michael Kapovich, Bernhard Leeb, John J. Millson |
| Autore | Kapovich Michael <1963-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2008] |
| Descrizione fisica | 1 online resource (98 p.) |
| Disciplina |
510 s
512/.482 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Semisimple Lie groups
Linear algebraic groups Geometric group theory Lorentz groups Symmetric spaces Rings (Algebra) |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0502-4 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Chapter 1. Introduction""; ""Chapter 2. Roots and Coxeter Groups""; ""2.1. Split tori over F""; ""2.2. Roots, coroots and the Langlands' dual""; ""2.3. Coxeter groups""; ""Chapter 3. The First Three Algebra Problems and the Parameter Spaces â?? for K\G/K""; ""3.1. The generalized eigenvalues of a sum problem Q1 and the parameter space â?? of k-double cosets""; ""3.2. The generalized singular values of a product and the parameter space â?? of K-double cosets""; ""3.3. The generalized invariant factor problem and the parameter space â?? of K-double cosets""
""3.4. Comparison of the parameter spaces for the four algebra problems""""3.5. Linear algebra problems""; ""Chapter 4. The existence of polygonal linkages and solutions to the algebra problems""; ""4.1. Setting up the general geometry problem""; ""4.2. Geometries modeled on Coxeter complexes""; ""4.3. Bruhat-Tits buildings associated with nonarchimedean reductive Lie groups""; ""4.4. Geodesic polygons""; ""Chapter 5. Weighted Configurations, Stability and the Relation to Polygons""; ""5.1. Gauss maps and associated dynamical systems""; ""5.2. The polyhedron D[sub(n)](X)"" ""5.3. The polyhedron for the root system B[sub(2)]""""Chapter 6. Polygons in Euclidean Buildings and the Generalized Invariant Factor Problem""; ""6.1. Folding polygons into apartments""; ""6.2. A Solution of Problem Q2 is not necessarily a solution of Problem Q3""; ""Chapter 7. The Existence of Fixed Vertices in Buildings and Computation of the Saturation Factors for Reductive Groups""; ""7.1. The saturation factors associated to a root system""; ""7.2. The existence of fixed vertices""; ""7.3. Saturation factors for reductive groups""; ""Chapter 8. The Comparison of Problems Q3 and Q4"" ""8.1. The Hecke ring""""8.2. A geometric interpretation of m[sub(α,β,γ)](0)""; ""8.3. The Satake transform""; ""8.4. A solution of Problem Q4 is a solution of Problem Q3""; ""8.5. A Solution of Problem Q3 is not necessarily a solution of Problem Q4""; ""8.6. The saturation theorem for GL(l)""; ""8.7. Computations for the root systems B[sub(2)] and G[sub(2)] ""; ""Appendix A. Decomposition of Tensor Products and Mumford Quotients of Products of Coadjoint orbits""; ""A. l. The existence of semistable triples and nonzero invariant vectorsin triple tensor products"" ""A. 2. The semigroups of solutions to Problems Q1 and Q4""""Bibliography"" |
| Record Nr. | UNINA-9910480614703321 |
Kapovich Michael <1963->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [2008] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The generalized triangle inequalities in symmetric spaces and buildings with applications to algebra / / Michael Kapovich, Bernhard Leeb, John J. Millson
| The generalized triangle inequalities in symmetric spaces and buildings with applications to algebra / / Michael Kapovich, Bernhard Leeb, John J. Millson |
| Autore | Kapovich Michael <1963-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2008] |
| Descrizione fisica | 1 online resource (98 p.) |
| Disciplina |
510 s
512/.482 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Semisimple Lie groups
Linear algebraic groups Geometric group theory Lorentz groups Symmetric spaces Rings (Algebra) |
| ISBN | 1-4704-0502-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Chapter 1. Introduction""; ""Chapter 2. Roots and Coxeter Groups""; ""2.1. Split tori over F""; ""2.2. Roots, coroots and the Langlands' dual""; ""2.3. Coxeter groups""; ""Chapter 3. The First Three Algebra Problems and the Parameter Spaces â?? for K\G/K""; ""3.1. The generalized eigenvalues of a sum problem Q1 and the parameter space â?? of k-double cosets""; ""3.2. The generalized singular values of a product and the parameter space â?? of K-double cosets""; ""3.3. The generalized invariant factor problem and the parameter space â?? of K-double cosets""
""3.4. Comparison of the parameter spaces for the four algebra problems""""3.5. Linear algebra problems""; ""Chapter 4. The existence of polygonal linkages and solutions to the algebra problems""; ""4.1. Setting up the general geometry problem""; ""4.2. Geometries modeled on Coxeter complexes""; ""4.3. Bruhat-Tits buildings associated with nonarchimedean reductive Lie groups""; ""4.4. Geodesic polygons""; ""Chapter 5. Weighted Configurations, Stability and the Relation to Polygons""; ""5.1. Gauss maps and associated dynamical systems""; ""5.2. The polyhedron D[sub(n)](X)"" ""5.3. The polyhedron for the root system B[sub(2)]""""Chapter 6. Polygons in Euclidean Buildings and the Generalized Invariant Factor Problem""; ""6.1. Folding polygons into apartments""; ""6.2. A Solution of Problem Q2 is not necessarily a solution of Problem Q3""; ""Chapter 7. The Existence of Fixed Vertices in Buildings and Computation of the Saturation Factors for Reductive Groups""; ""7.1. The saturation factors associated to a root system""; ""7.2. The existence of fixed vertices""; ""7.3. Saturation factors for reductive groups""; ""Chapter 8. The Comparison of Problems Q3 and Q4"" ""8.1. The Hecke ring""""8.2. A geometric interpretation of m[sub(α,β,γ)](0)""; ""8.3. The Satake transform""; ""8.4. A solution of Problem Q4 is a solution of Problem Q3""; ""8.5. A Solution of Problem Q3 is not necessarily a solution of Problem Q4""; ""8.6. The saturation theorem for GL(l)""; ""8.7. Computations for the root systems B[sub(2)] and G[sub(2)] ""; ""Appendix A. Decomposition of Tensor Products and Mumford Quotients of Products of Coadjoint orbits""; ""A. l. The existence of semistable triples and nonzero invariant vectorsin triple tensor products"" ""A. 2. The semigroups of solutions to Problems Q1 and Q4""""Bibliography"" |
| Record Nr. | UNINA-9910788851503321 |
|
Kapovich Michael <1963->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [2008] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The generalized triangle inequalities in symmetric spaces and buildings with applications to algebra / / Michael Kapovich, Bernhard Leeb, John J. Millson
| The generalized triangle inequalities in symmetric spaces and buildings with applications to algebra / / Michael Kapovich, Bernhard Leeb, John J. Millson |
| Autore | Kapovich Michael <1963-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2008] |
| Descrizione fisica | 1 online resource (98 p.) |
| Disciplina |
510 s
512/.482 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Semisimple Lie groups
Linear algebraic groups Geometric group theory Lorentz groups Symmetric spaces Rings (Algebra) |
| ISBN | 1-4704-0502-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Chapter 1. Introduction""; ""Chapter 2. Roots and Coxeter Groups""; ""2.1. Split tori over F""; ""2.2. Roots, coroots and the Langlands' dual""; ""2.3. Coxeter groups""; ""Chapter 3. The First Three Algebra Problems and the Parameter Spaces â?? for K\G/K""; ""3.1. The generalized eigenvalues of a sum problem Q1 and the parameter space â?? of k-double cosets""; ""3.2. The generalized singular values of a product and the parameter space â?? of K-double cosets""; ""3.3. The generalized invariant factor problem and the parameter space â?? of K-double cosets""
""3.4. Comparison of the parameter spaces for the four algebra problems""""3.5. Linear algebra problems""; ""Chapter 4. The existence of polygonal linkages and solutions to the algebra problems""; ""4.1. Setting up the general geometry problem""; ""4.2. Geometries modeled on Coxeter complexes""; ""4.3. Bruhat-Tits buildings associated with nonarchimedean reductive Lie groups""; ""4.4. Geodesic polygons""; ""Chapter 5. Weighted Configurations, Stability and the Relation to Polygons""; ""5.1. Gauss maps and associated dynamical systems""; ""5.2. The polyhedron D[sub(n)](X)"" ""5.3. The polyhedron for the root system B[sub(2)]""""Chapter 6. Polygons in Euclidean Buildings and the Generalized Invariant Factor Problem""; ""6.1. Folding polygons into apartments""; ""6.2. A Solution of Problem Q2 is not necessarily a solution of Problem Q3""; ""Chapter 7. The Existence of Fixed Vertices in Buildings and Computation of the Saturation Factors for Reductive Groups""; ""7.1. The saturation factors associated to a root system""; ""7.2. The existence of fixed vertices""; ""7.3. Saturation factors for reductive groups""; ""Chapter 8. The Comparison of Problems Q3 and Q4"" ""8.1. The Hecke ring""""8.2. A geometric interpretation of m[sub(α,β,γ)](0)""; ""8.3. The Satake transform""; ""8.4. A solution of Problem Q4 is a solution of Problem Q3""; ""8.5. A Solution of Problem Q3 is not necessarily a solution of Problem Q4""; ""8.6. The saturation theorem for GL(l)""; ""8.7. Computations for the root systems B[sub(2)] and G[sub(2)] ""; ""Appendix A. Decomposition of Tensor Products and Mumford Quotients of Products of Coadjoint orbits""; ""A. l. The existence of semistable triples and nonzero invariant vectorsin triple tensor products"" ""A. 2. The semigroups of solutions to Problems Q1 and Q4""""Bibliography"" |
| Record Nr. | UNINA-9910827763403321 |
|
Kapovich Michael <1963->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [2008] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
An introduction to Lorentz surfaces [[electronic resource] /] / by Tilla Weinstein
| An introduction to Lorentz surfaces [[electronic resource] /] / by Tilla Weinstein |
| Autore | Weinstein Tilla <1934-> |
| Edizione | [Reprint 2011] |
| Pubbl/distr/stampa | Berlin ; ; New York, : Walter de Gruyter, 1996 |
| Descrizione fisica | 1 online resource (227 p.) |
| Disciplina | 530.1/54 |
| Collana | De Gruyter Expositions in Mathematics |
| Soggetto topico |
Topology
Lorentz groups Generalized spaces |
| Soggetto genere / forma | Electronic books. |
| ISBN | 3-11-082163-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Preface -- Table of Contents -- Introduction -- Chapter 1 Null lines on Lorentz surfaces -- Chapter 2 Box surfaces, yardsticks and global properties of Lorentzian metrics -- Chapter 3 Conformal equivalence and the Poincaré index -- Chapter 4 Kulkarni's conformal boundary -- Chapter 5 Using the conformal boundary -- Chapter 6 Conformal invariants on Lorentz surfaces -- Chapter 7 Classical surface theory and harmonically immersed surfaces -- Chapter 8 Conformal realization of Lorentz surfaces in Minkowski 3-space -- Bibliography -- Index |
| Record Nr. | UNINA-9910462755503321 |
|
Weinstein Tilla <1934->
|
||
| Berlin ; ; New York, : Walter de Gruyter, 1996 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
An introduction to Lorentz surfaces [[electronic resource] /] / by Tilla Weinstein
| An introduction to Lorentz surfaces [[electronic resource] /] / by Tilla Weinstein |
| Autore | Weinstein Tilla <1934-> |
| Edizione | [Reprint 2011] |
| Pubbl/distr/stampa | Berlin ; ; New York, : Walter de Gruyter, 1996 |
| Descrizione fisica | 1 online resource (227 p.) |
| Disciplina | 530.1/54 |
| Collana | De Gruyter Expositions in Mathematics |
| Soggetto topico |
Topology
Lorentz groups Generalized spaces |
| ISBN | 3-11-082163-X |
| Classificazione | SK 370 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Preface -- Table of Contents -- Introduction -- Chapter 1 Null lines on Lorentz surfaces -- Chapter 2 Box surfaces, yardsticks and global properties of Lorentzian metrics -- Chapter 3 Conformal equivalence and the Poincaré index -- Chapter 4 Kulkarni's conformal boundary -- Chapter 5 Using the conformal boundary -- Chapter 6 Conformal invariants on Lorentz surfaces -- Chapter 7 Classical surface theory and harmonically immersed surfaces -- Chapter 8 Conformal realization of Lorentz surfaces in Minkowski 3-space -- Bibliography -- Index |
| Record Nr. | UNINA-9910785633303321 |
|
Weinstein Tilla <1934->
|
||
| Berlin ; ; New York, : Walter de Gruyter, 1996 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The P(φ) 2 Model on de Sitter Space
| The P(φ) 2 Model on de Sitter Space |
| Autore | C João |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | Providence : , : American Mathematical Society, , 2023 |
| Descrizione fisica | 1 online resource (282 pages) |
| Disciplina |
530.152/556
530.152556 |
| Altri autori (Persone) |
JäkelChristian D
MundJens |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Operator algebras
Generalized spaces Lorentz groups Manifolds (Mathematics) Quantum field theory Quantum theory -- Quantum field theory; related classical field theories -- Axiomatic quantum field theory; operator algebras Quantum theory -- Quantum field theory; related classical field theories -- Constructive quantum field theory Quantum theory -- Quantum field theory; related classical field theories -- Quantum field theory on curved space backgrounds Topological groups, Lie groups -- Lie groups -- Structure and representation of the Lorentz group Operator theory -- Linear spaces and algebras of operators -- Applications of operator algebras to physics |
| ISBN | 1-4704-7322-4 |
| Classificazione | 81T0581T0881T2022E4347L90 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Cover -- Title page -- List of Symbols -- Preface -- Part 1. De Sitter space -- Chapter 1. De Sitter space as a Lorentzian manifold -- 1.1. The Einstein equations -- 1.2. De Sitter space -- 1.3. The Lorentz group -- 1.4. Hyperbolicity -- 1.5. Causally complete regions -- 1.6. Complexified de Sitter space -- 1.7. The Euclidean sphere -- Chapter 2. Space-time symmetries -- 2.1. The isometry group of de Sitter space -- 2.2. Horospheres -- 2.3. The Cartan decomposition of ₀(1,2) -- 2.4. An alternative decomposition of ₀(1,2) -- 2.5. The Iwasawa decomposition of ₀(1,2) -- 2.6. The Hannabuss decomposition of ₀(1,2) -- 2.7. Homogeneous spaces, cosets and orbits -- 2.8. The complex Lorentz group -- Chapter 3. Induced representations for the Lorentz group -- 3.1. Integration on homogeneous spaces -- 3.2. Induced representations -- 3.3. Reducible representations on the light-cone -- 3.4. Unitary irreducible representations on a circle lying on the lightcone -- 3.5. Intertwiners -- 3.6. The time reflection -- 3.7. Unitary irreducible representations on two mass shells -- Chapter 4. Harmonic analysis on the hyperboloid -- 4.1. Plane waves -- 4.2. The Fourier-Helgason transformation -- 4.3. The Plancherel theorem on the hyperboloid -- 4.4. Unitary irreducible representations on de Sitter space -- 4.5. The Euclidean one-particle Hilbert space over the sphere -- 4.6. Unitary irreducible representations on the time-zero circle -- 4.7. Reflection positivity: From (3) to (1,2) -- 4.8. Time-symmetric and time-antisymmetric test-functions -- 4.9. Fock space -- Part 2. Free quantum fields -- Chapter 5. Classical field theory -- 5.1. The classical equations of motion -- 5.2. Conservation laws -- 5.3. The covariant classical dynamical system -- 5.4. The restriction of the KG equation to a (double) wedge -- 5.5. The canonical classical dynamical system.
Chapter 6. Quantum one-particle structures -- 6.1. The covariant one-particle structure -- 6.2. One-particle structures with positive and negative energy -- 6.3. One-particle KMS structures -- 6.4. The canonical one-particle structure -- 6.5. Localisation -- 6.6. Standard subspaces of ̂ ( ¹) -- Chapter 7. Local algebras for the free field -- 7.1. The covariant net of local algebras on -- 7.2. The canonical net of local *-algebras on ¹ -- 7.3. Euclidean fields and the net of local algebras on ² -- 7.4. The reconstruction of free quantum fields on de Sitter space -- Part 3. Interacting quantum fields -- Chapter 8. The interacting vacuum -- 8.1. Short-distance properties of the covariance -- 8.2. (Non-)Commutative ^{ }-spaces -- 8.3. The Euclidean interaction -- 8.4. The interacting vacuum vector -- Chapter 9. The interacting representation of (1,2) -- 9.1. The reconstruction of the interacting boosts -- 9.2. A unitary representation of the Lorentz group -- 9.3. Perturbation formulas for the boosts -- Chapter 10. Local algebras for the interacting field -- 10.1. Finite speed of propagation for the ( )₂ model -- 10.2. The Haag-Kastler axioms -- Chapter 11. The equations of motion and the stress-energy tensor -- 11.1. The stress-energy tensor -- 11.2. The equations of motion -- Chapter 12. Summary -- 12.1. The conceptional structure -- 12.2. Wightman function, particle content and scattering theory -- 12.3. A detailed summary -- Appendix A. A local flat tube theorem -- Appendix B. One particle structures -- Appendix C. Sobolev spaces on the circle and on the sphere -- Appendix D. Some identities involving Legendre functions -- Bibliography -- Index -- Back Cover. |
| Record Nr. | UNINA-9910915674803321 |
|
C João
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||
| Providence : , : American Mathematical Society, , 2023 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Physics of the Lorentz group : beyond high-energy physics and optics / / Sibel Baskal, Young S. Kim, Marilyn E. Noz.
| Physics of the Lorentz group : beyond high-energy physics and optics / / Sibel Baskal, Young S. Kim, Marilyn E. Noz. |
| Autore | Baskal Sibel |
| Edizione | [Second edition.] |
| Pubbl/distr/stampa | Bristol [England] (Temple Circus, Temple Way, Bristol BS1 6HG, UK) : , : IOP Publishing, , [2021] |
| Descrizione fisica | 1 online resource (various pagings) : illustrations (some color) |
| Disciplina | 512/.2 |
| Collana | IOP ebooks |
| Soggetto topico |
Lorentz groups
Rotation groups Mathematical physics |
| ISBN |
9780750336062
0750336064 9780750336079 0750336072 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
1. Lorentz group and its representations -- 1.1. Generators of the Lorentz group -- 1.2. Two-by-two representation of the Lorentz group -- 1.3. Conformal representation of the Lorentz group -- 1.4. Representations of the Poincaré group -- 1.5. Representations of the Lorentz group based on harmonic oscillators -- 1.6. Wigner functions for the Lorentz group
2. Wigner's little groups for internal space-time symmetries -- 2.1. Euler decomposition of Wigner's little group -- 2.2. O(3)-like little group for massive particles -- 2.3. E(2)-like little group for massless particles -- 2.4. O(2, 1)-like little group for imaginary-mass particles -- 2.5. Further properties of Wigner's little groups -- 2.6. Little groups in the light-cone coordinate system 3. Group contractions -- 3.1. Contraction with squeeze transformations -- 3.2. Contractions of the O(3) rotation group -- 3.3. Contraction of the O(2, 1) Lorentz group -- 3.4. Contraction of the Lorentz group -- 3.5. Tangential spheres 4. Two-by-two representations of Wigner's little groups -- 4.1. Transformation properties of the energy-momentum four-vector -- 4.2. Two-by-two representations of Wigner's little groups -- 4.3. Lorentz completion of the little groups -- 4.4. Bargmann and Wigner decompositions -- 4.5. Conjugate transformations -- 4.6. One little group with three branches -- 4.7. Classical damped harmonic oscillator 5. Relativistic spinors and polarization of photons and neutrinos -- 5.1. Two-component spinors -- 5.2. Massive and massless particles -- 5.3. Dirac spinors and massless particles -- 5.4. Polarization of massless neutrinos -- 5.5. Scalars, vectors, tensors, and the polarization of photons 6. Lorentz-covariant harmonic oscillators -- 6.1. Dirac's plan to construct Lorentz-covariant quantum mechanics -- 6.2. Dirac's forms of relativistic dynamics -- 6.3. Running waves and standing waves -- 6.4. Little groups for relativistic extended particles -- 6.5. Further properties of covariant oscillator wave functions -- 6.6. Lorentz contraction of harmonic oscillators -- 6.7. Feynman's rest of the Universe 7. Quarks and partons in the Lorentz-covariant world -- 7.1. Lorentz-covariant quark model -- 7.2. Feynman's parton picture -- 7.3. Proton structure function -- 7.4. Proton form factor and Lorentz coherence -- 7.5. Coherence in energy-momentum space -- 7.6. Hadronic temperature and boiling quarks 8. Wigner functions and their symmetries -- 8.1. Symmetries and the uncertainty principle in the Wigner phase space -- 8.2. Four-dimensional phase space -- 8.3. Canonical transformations -- 8.4. SL(4, r) symmetry -- 8.5. Dirac matrices for O(3, 3) -- 8.6. O(3, 3) symmetry 9. Coupled harmonic oscillators and squeezed states of light -- 9.1. Coupled oscillators -- 9.2. Lorentz-covariant oscillators -- 9.3. Squeezed states of light -- 9.4. Further notes on squeezed states -- 9.5. O(3, 2) symmetry from Dirac's coupled oscillators -- 9.6. Canonical and non-canonical transformations from the coupled oscillators -- 9.7. Entropy and the expanding Wigner phase space 10. Special relativity from quantum mechanics? -- 10.1. Definition of the problem -- 10.2. Symmetries of the single oscillator -- 10.3. Symmetries from two oscillators -- 10.4. Contraction of O(3, 2) to the inhomogeneous Lorentz group 11. Lorentz group in ray optics -- 11.1. The group of ABCD matrices applied to ray optics -- 11.2. Equi-diagonalization of the ABCD matrix -- 11.3. Decomposition of the ABCD matrix -- 11.4. Laser cavities -- 11.5. Composition of lens and translation matrices -- 11.6. Optical beam propagation through multilayers -- 11.7. Camera optics 12. Polarization optics -- 12.1. Jones vectors -- 12.2. Squeeze transformation and phase shift -- 12.3. Rotation of the polarization axes -- 12.4. The SL(2, c) group content of polarization optics -- 12.5. Optical activities -- 12.6. Correspondence to space-time symmetries -- 12.7. More optical filters from E(2)-like groups 13. Poincaré sphere -- 13.1. Decoherence in polarization optics -- 13.2. Coherency matrix -- 13.3. Poincaré sphere -- 13.4. Two concentric Poincaré spheres -- 13.5. Symmetries derivable from the Poincaré sphere -- 13.6. O(3, 2) symmetry for energy couplings -- 13.7. Entropy problem Appendix A. Physics as art of synthesis -- A.1. Illustration of Hume, Kant, and Hegel -- A.2. Kant and Einstein -- A.3. Kantianism and Taoism -- A.4. Einstein and Hegel. |
| Record Nr. | UNINA-9911009166103321 |
|
Baskal Sibel
|
||
| Bristol [England] (Temple Circus, Temple Way, Bristol BS1 6HG, UK) : , : IOP Publishing, , [2021] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Proceedings of the fifth Meeting on CPT and Lorentz Symmetry, Bloomington, USA, 28 June-2 July 2010 [[electronic resource] /] / editor, V. Alan Kostelecký
| Proceedings of the fifth Meeting on CPT and Lorentz Symmetry, Bloomington, USA, 28 June-2 July 2010 [[electronic resource] /] / editor, V. Alan Kostelecký |
| Pubbl/distr/stampa | Hackensack, N.J., : World Scientific, 2011 |
| Descrizione fisica | 1 online resource (250 p.) |
| Disciplina | 539.725 |
| Altri autori (Persone) | KosteleckýV. Alan |
| Soggetto topico |
CP violation (Nuclear physics)
Lorentz groups |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-283-14520-0
9786613145208 981-4327-68-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Preface; CONTENTS; Emergent Photons and Gravitons: The Problem of Vacuum Structure J.D. Bjorken; Matter-Wave Tests of the Gravitational Redshift in Space H. Muller, M.A. Hohensee, and N. Yu; Laser Spectroscopy of Antiprotonic Helium at CERN's Antiproton Decelerator Facility M. Hori; Topics in Lorentz and CPT Violation V.A. Kostelecky; Lorentz and CPT Violation in Neutrino Oscillations J.S. Diaz; Spontaneous Lorentz Symmetry Breaking in Nonlinear Electrodynamics L.F. Urrutia; Testing Lorentz and CPT Invariance Using the MINOS Far Detector S.L. Mufson and B.J. Rebel
Search for Light-Speed Anisotropies Using Compton Scattering of High-Energy Electrons D. Rebreyend Torsion Balance Tests of Couplings to Spin B.R. Heckel et al.; Tests of Fundamental Symmetries Using Noble Gas Masers D.F. Phillips, A. Glenday, and R.L. Walsworth; ALPHA Antihydrogen Experiment M.C. Fujiwara et al.; Extending the Reach of Lorentz Tests with Atomic Clocks B. Altschul; Lorentz Symmetry and Matter-Gravity Couplings J.D. Tasson; Effective QFT and What it Tells Us about Dynamical Torsion I.L. Shapiro; Test for Lorentz and CPT Violation with the MiniBooNE Low-Energy Excess T. Katori A New Limit on Lorentz- and CPT-Violating Neutron Spin Interactions J.M. Brown et al.Higher-Order Lorentz Violations in Electrodynamics M. Mewes; Status and Prospects for Lorentz and CPT Violation Tests at KLOE and KLOE-2 A. De Santis; Testing Lorentz Invariance by Comparing Light Propagation in Vacuum and Matter M. Nagel et al.; Topological-Defect Solutions in Lorentz-Violating Field Theories M.D. Seifert; AEGIS at CERN: Measuring Antihydrogen Fall M.G. Giammarchi; Gauge Noninvariance as Tests of Emergent Gauge Symmetry J.F. Donoghue, M.M. Anber, and U. Aydemir Testing Time Dilation on Fast Ion Beams G. Saatho et al. Searches for Violation of CPT and Lorentz Invariance Using Top Quarks G. Gutierrez; Spontaneous Lorentz Violation, Nambu-Goldstone Modes, and Massive Modes R. Bluhm; Cavity Constraints on Isotropic Shift and Anisotropies of the Speed of Light P.L. Stanwix et al.; Constraining Lorentz Invariance Violation with Fermi V. Vasileiou; Kinematical Lorentz-Symmetry Tests at Particle Colliders R. Lehnert; New Experiments with Antiprotons D.M. Kaplan; Gravity Couplings in the Standard-Model Extension Q.G. Bailey D Evidence for CP Violation and Implication for CPT Violation in B-Meson Mixing R. Van Kooten Testing Relativity with GP-B and STEP P.W. Worden; Evidence for Solar Influences on Nuclear Decay Rates E. Fischbach et al.; Search for Lorentz-Invariance-Violating Effects in the Decay of Free Neutrons A. Kozela et al.; Lorentz Violation in Top-Quark Production and Decay M.S. Berger; Lorentz Violation by Quark Condensation C. Xiong; Tests of Lorentz Invariance Using a Spectrometer Dedicated to the Neutron Electric Dipole Moment (nEDM) Search I. Altarev et al. Laboratory Searches for Preferred Frame Effects Ongoing Work and Results at Birmingham H. Panjwani, L. Carbone, and C.C. Speake |
| Record Nr. | UNINA-9910464231403321 |
| Hackensack, N.J., : World Scientific, 2011 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Proceedings of the fifth Meeting on CPT and Lorentz Symmetry, Bloomington, USA, 28 June-2 July 2010 [[electronic resource] /] / editor, V. Alan Kostelecký
| Proceedings of the fifth Meeting on CPT and Lorentz Symmetry, Bloomington, USA, 28 June-2 July 2010 [[electronic resource] /] / editor, V. Alan Kostelecký |
| Pubbl/distr/stampa | Hackensack, N.J., : World Scientific, 2011 |
| Descrizione fisica | 1 online resource (250 p.) |
| Disciplina | 539.725 |
| Altri autori (Persone) | KosteleckýV. Alan |
| Soggetto topico |
CP violation (Nuclear physics)
Lorentz groups |
| ISBN |
1-283-14520-0
9786613145208 981-4327-68-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Preface; CONTENTS; Emergent Photons and Gravitons: The Problem of Vacuum Structure J.D. Bjorken; Matter-Wave Tests of the Gravitational Redshift in Space H. Muller, M.A. Hohensee, and N. Yu; Laser Spectroscopy of Antiprotonic Helium at CERN's Antiproton Decelerator Facility M. Hori; Topics in Lorentz and CPT Violation V.A. Kostelecky; Lorentz and CPT Violation in Neutrino Oscillations J.S. Diaz; Spontaneous Lorentz Symmetry Breaking in Nonlinear Electrodynamics L.F. Urrutia; Testing Lorentz and CPT Invariance Using the MINOS Far Detector S.L. Mufson and B.J. Rebel
Search for Light-Speed Anisotropies Using Compton Scattering of High-Energy Electrons D. Rebreyend Torsion Balance Tests of Couplings to Spin B.R. Heckel et al.; Tests of Fundamental Symmetries Using Noble Gas Masers D.F. Phillips, A. Glenday, and R.L. Walsworth; ALPHA Antihydrogen Experiment M.C. Fujiwara et al.; Extending the Reach of Lorentz Tests with Atomic Clocks B. Altschul; Lorentz Symmetry and Matter-Gravity Couplings J.D. Tasson; Effective QFT and What it Tells Us about Dynamical Torsion I.L. Shapiro; Test for Lorentz and CPT Violation with the MiniBooNE Low-Energy Excess T. Katori A New Limit on Lorentz- and CPT-Violating Neutron Spin Interactions J.M. Brown et al.Higher-Order Lorentz Violations in Electrodynamics M. Mewes; Status and Prospects for Lorentz and CPT Violation Tests at KLOE and KLOE-2 A. De Santis; Testing Lorentz Invariance by Comparing Light Propagation in Vacuum and Matter M. Nagel et al.; Topological-Defect Solutions in Lorentz-Violating Field Theories M.D. Seifert; AEGIS at CERN: Measuring Antihydrogen Fall M.G. Giammarchi; Gauge Noninvariance as Tests of Emergent Gauge Symmetry J.F. Donoghue, M.M. Anber, and U. Aydemir Testing Time Dilation on Fast Ion Beams G. Saatho et al. Searches for Violation of CPT and Lorentz Invariance Using Top Quarks G. Gutierrez; Spontaneous Lorentz Violation, Nambu-Goldstone Modes, and Massive Modes R. Bluhm; Cavity Constraints on Isotropic Shift and Anisotropies of the Speed of Light P.L. Stanwix et al.; Constraining Lorentz Invariance Violation with Fermi V. Vasileiou; Kinematical Lorentz-Symmetry Tests at Particle Colliders R. Lehnert; New Experiments with Antiprotons D.M. Kaplan; Gravity Couplings in the Standard-Model Extension Q.G. Bailey D Evidence for CP Violation and Implication for CPT Violation in B-Meson Mixing R. Van Kooten Testing Relativity with GP-B and STEP P.W. Worden; Evidence for Solar Influences on Nuclear Decay Rates E. Fischbach et al.; Search for Lorentz-Invariance-Violating Effects in the Decay of Free Neutrons A. Kozela et al.; Lorentz Violation in Top-Quark Production and Decay M.S. Berger; Lorentz Violation by Quark Condensation C. Xiong; Tests of Lorentz Invariance Using a Spectrometer Dedicated to the Neutron Electric Dipole Moment (nEDM) Search I. Altarev et al. Laboratory Searches for Preferred Frame Effects Ongoing Work and Results at Birmingham H. Panjwani, L. Carbone, and C.C. Speake |
| Record Nr. | UNINA-9910788549403321 |
| Hackensack, N.J., : World Scientific, 2011 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Proceedings of the Fourth Meering on CPT and Lorentz Symmetry, Bloomington, USA, 8-11 August 2007 [[electronic resource] /] / editor, V. Alan Kostelecký
| Proceedings of the Fourth Meering on CPT and Lorentz Symmetry, Bloomington, USA, 8-11 August 2007 [[electronic resource] /] / editor, V. Alan Kostelecký |
| Pubbl/distr/stampa | Singapore ; ; Hackensack, N.J., : World Scientific, c2008 |
| Descrizione fisica | 1 online resource (335 p.) |
| Disciplina |
539.7/25
539.725 |
| Altri autori (Persone) | KosteleckýV. Alan |
| Soggetto topico |
CP violation (Nuclear physics)
Lorentz groups |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-281-93807-6
9786611938079 981-277-951-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
CONTENTS; Preface; Improved Tests of Lorentz and CPT Symmetry using Noble-Gas Masers A . Glenday, D.F. Phillips, and R.L. Walsworth; 1. Introduction; 2. Motivation; 3. 129Xe/3He maser upgrades for Lorentz/CPT tests; 4. Conclusions; Acknowledgments; References; A Modern Michelson-Morley Experiment using Actively Rotated Optical Resonators S. Herrmann et al.; 1. Introduction; 2. The experiment; 3. Preliminary results; 4. Outlook; References; Rotating Experiments to Test Lorentz Invariance in the Photon Sector M.E. Tobar et al.; 1. Rotating Cryogenic Sapphire Oscillator Experiment
2. Rotating Magnetic Interferometer ExperimentReferences; Lorentz Violation, Electrodynamics, and the Cosmic Microwave Background M. Mewes; 1. Introduction; 2. Theory; 3. CMB; 4. Results; Acknowledgments; References; High Energy Astrophysical Tests of Lorentz Invariance B. Altschul; References; Fundamental Physics Experiments in Space (within ESA) T.J. Sumner; 1. Motivation; 2. Enabling Technologies; 3. Opportunities; 3.1. LISA Pathfinder; 3.1.1. Technological Concept; 3.1.2. Scientific Objectives; 3.2. LISA; 3.2.1. Technological Concept; 3.2.2. Scientific Objectives; 3.3. GAUGE 3.3.1. Technological Concept3.3.2. Scientific Objectives; References; The Experimental Foundations of the Dirac Equation C. Lammerzahl; 1. The Dirac equation; 2. The generalized Dirac equation; 2.1. General geometrical structures; 2.2. Nan-relativistic limit; 3. Tests of LLI and UFF; 4. Test of basic principles; 4.1. Well posedness of Cauchy problem; 4.2. Locality; 4.3. The superposition principle; Acknowledgments; References; Perspectives on Lorentz and CPT Violation V. A. Kostelecky'; 1. Introduction; 2. Approaches and origins; 3. Describing Lorentz violation 3.1. Modified Lorentz transformations3.2 . Modified dispersion laws; 3.3. Effective field theory and the SME; 4. Gravity and Lorentz violation; 5. The search for signals; Acknowledgments; References; Search for Lorentz and CPT Violation Effects in Muon Spin Precession B.L. Roberts; 1. Introduction; 2. Experiment E821 at the BNL AGS; Acknowledgments; References; Lorentz Violation in a Diffeomorphism-Invariant Theory R. Jackiw; 1. Gauge Theory Preliminary; 2. Diffeomorphism Invariant Gravity Theory; 3. Reprise; Acknowledgments; References; Studies of CPT Symmetry with ASACUSA R.S. Hayano 1. Introduction2. Weighing the antiproton - the method; 3. Weighing the antiproton - results; 4. Outlook; Acknowledgments; References; Neutrino Oscillations and Lorentz Violation with MiniBooNE R. Tayloe and T. Katori; 1. Neutrino Oscillations, Lorentz Violation, and LSND; 2. The Tandem Model; 3. The MiniBooNE Experiment; 4. Analysis and Results; References; Testing Lorentz and CPT Invariance with MINOS Near Detector Neutrinos B.J. Rebel and S.L. Mufson; 1. Introduction; 2. Data Sample; 3. Results; 4. Future Work; References Einstein-ather Gravity: Theory and Observational Constraints T. Jacobson |
| Record Nr. | UNINA-9910453194203321 |
| Singapore ; ; Hackensack, N.J., : World Scientific, c2008 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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