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Analysis of Quantised Vortex Tangle [[electronic resource] /] / by Alexander John Taylor
| Analysis of Quantised Vortex Tangle [[electronic resource] /] / by Alexander John Taylor |
| Autore | Taylor Alexander John |
| Edizione | [1st ed. 2017.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2017 |
| Descrizione fisica | 1 online resource (XVI, 197 p. 95 illus., 84 illus. in color.) |
| Disciplina | 530.1 |
| Collana | Springer Theses, Recognizing Outstanding Ph.D. Research |
| Soggetto topico |
Physics
Mathematical physics Topology Statistics Numerical and Computational Physics, Simulation Mathematical Physics Statistical Theory and Methods |
| ISBN | 9783319485560 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Introduction -- Numerical Methods -- Geometry and Scaling of Vortex Lines -- Topological Methods -- Knotting and Linking of Vortex Lines -- Conclusions. . |
| Record Nr. | UNINA-9910155302503321 |
Taylor Alexander John
|
||
| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2017 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Analysis, geometry and topology of elliptic operators [[electronic resource] /] / editors, Bernhelm Booss-Bavnbek ... [et al.]
| Analysis, geometry and topology of elliptic operators [[electronic resource] /] / editors, Bernhelm Booss-Bavnbek ... [et al.] |
| Pubbl/distr/stampa | Singapore ; ; Hackensack, NJ, : World Scientific, c2006 |
| Descrizione fisica | 1 online resource (553 p.) |
| Disciplina | 515/.7242 |
| Altri autori (Persone) |
BoossBernhelm <1941->
WojciechowskiKrzysztof P. <1953-> |
| Soggetto topico |
Elliptic operators
Differential equations, Elliptic Topology Boundary value problems |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-281-37900-X
9786611379001 981-277-360-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Contents ; Preface ; Part I. On the Mathematical Work of Krzysztof P. ; Selected Aspects of the Mathematical Work of Krzysztof P.Wojciechowski ; Gluing Formulae of Spectral Invariants and Cauchy Data Spaces ; Part II. Topological Theories
The Behavior of the Analytic Index under Nontrivial Embedding Critical Points of Polynomials in Three Complex Variables ; Chern-Weil Forms Associated with Superconnections ; Part III. Heat Kernel Calculations and Surgery ; Non-Laplace Type Operators on Manifolds with Boundary Eta Invariants for Manifold with Boundary Heat Kernels of the Sub-Laplacian and the Laplacian on Nilpotent Lie Groups ; Remarks on Nonlocal Trace Expansion Coefficients ; An Anomaly Formula for L2-Analytic Torsions on Manifolds with Boundary ; Conformal Anomalies via Canonical Traces Part IV. Noncommutative Geometry An Analytic Approach to Spectral Flow in von Neumann Algebras ; Elliptic Operators on Infinite Graphs ; A New Kind of Index Theorem ; A Note on Noncommutative Holomorphic and Harmonic Functions on the Unit Disk ; Star Products and Central Extensions An Elementary Proof of the Homotopy Equivalence between the Restricted General Linear Group and the Space of Fredholm Operators Part V. Theoretical Particle String and Membrane Physics and Hamiltonian Dynamics ; T-DUALITY FOR NON-FREE CIRCLE ACTIONS A New Spectral Cancellation in Quantum Gravity |
| Record Nr. | UNINA-9910458283503321 |
| Singapore ; ; Hackensack, NJ, : World Scientific, c2006 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Analysis, geometry and topology of elliptic operators / editors, Bernhelm Booss-Bavnbek ... [et al.]
| Analysis, geometry and topology of elliptic operators / editors, Bernhelm Booss-Bavnbek ... [et al.] |
| Pubbl/distr/stampa | Singapore ; Hackensack, N. J. : World Scientific, c2006 |
| Descrizione fisica | xi, 540 p. ; 24 cm |
| Disciplina | 515.7242 |
| Altri autori (Persone) |
Booss, Bernhelm
Wojciechowski, Krzysztof P. |
| Soggetto topico |
Elliptic operators
Differential equations, Elliptic Topology Boundary value problems |
| ISBN | 9812568050 |
| Classificazione |
AMS 58-06
LC QA329.42.A52 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991002453539707536 |
| Singapore ; Hackensack, N. J. : World Scientific, c2006 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
| ||
Analysis, geometry and topology of elliptic operators [[electronic resource] /] / editors, Bernhelm Booss-Bavnbek ... [et al.]
| Analysis, geometry and topology of elliptic operators [[electronic resource] /] / editors, Bernhelm Booss-Bavnbek ... [et al.] |
| Pubbl/distr/stampa | Singapore ; ; Hackensack, NJ, : World Scientific, c2006 |
| Descrizione fisica | 1 online resource (553 p.) |
| Disciplina | 515/.7242 |
| Altri autori (Persone) |
BoossBernhelm <1941->
WojciechowskiKrzysztof P. <1953-> |
| Soggetto topico |
Elliptic operators
Differential equations, Elliptic Topology Boundary value problems |
| ISBN |
1-281-37900-X
9786611379001 981-277-360-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Contents ; Preface ; Part I. On the Mathematical Work of Krzysztof P. ; Selected Aspects of the Mathematical Work of Krzysztof P.Wojciechowski ; Gluing Formulae of Spectral Invariants and Cauchy Data Spaces ; Part II. Topological Theories
The Behavior of the Analytic Index under Nontrivial Embedding Critical Points of Polynomials in Three Complex Variables ; Chern-Weil Forms Associated with Superconnections ; Part III. Heat Kernel Calculations and Surgery ; Non-Laplace Type Operators on Manifolds with Boundary Eta Invariants for Manifold with Boundary Heat Kernels of the Sub-Laplacian and the Laplacian on Nilpotent Lie Groups ; Remarks on Nonlocal Trace Expansion Coefficients ; An Anomaly Formula for L2-Analytic Torsions on Manifolds with Boundary ; Conformal Anomalies via Canonical Traces Part IV. Noncommutative Geometry An Analytic Approach to Spectral Flow in von Neumann Algebras ; Elliptic Operators on Infinite Graphs ; A New Kind of Index Theorem ; A Note on Noncommutative Holomorphic and Harmonic Functions on the Unit Disk ; Star Products and Central Extensions An Elementary Proof of the Homotopy Equivalence between the Restricted General Linear Group and the Space of Fredholm Operators Part V. Theoretical Particle String and Membrane Physics and Hamiltonian Dynamics ; T-DUALITY FOR NON-FREE CIRCLE ACTIONS A New Spectral Cancellation in Quantum Gravity |
| Record Nr. | UNINA-9910784854603321 |
| Singapore ; ; Hackensack, NJ, : World Scientific, c2006 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Analysis, geometry and topology of elliptic operators [[electronic resource] /] / editors, Bernhelm Booss-Bavnbek ... [et al.]
| Analysis, geometry and topology of elliptic operators [[electronic resource] /] / editors, Bernhelm Booss-Bavnbek ... [et al.] |
| Pubbl/distr/stampa | Singapore ; ; Hackensack, NJ, : World Scientific, c2006 |
| Descrizione fisica | 1 online resource (553 p.) |
| Disciplina | 515/.7242 |
| Altri autori (Persone) |
BoossBernhelm <1941->
WojciechowskiKrzysztof P. <1953-> |
| Soggetto topico |
Elliptic operators
Differential equations, Elliptic Topology Boundary value problems |
| ISBN |
1-281-37900-X
9786611379001 981-277-360-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Contents ; Preface ; Part I. On the Mathematical Work of Krzysztof P. ; Selected Aspects of the Mathematical Work of Krzysztof P.Wojciechowski ; Gluing Formulae of Spectral Invariants and Cauchy Data Spaces ; Part II. Topological Theories
The Behavior of the Analytic Index under Nontrivial Embedding Critical Points of Polynomials in Three Complex Variables ; Chern-Weil Forms Associated with Superconnections ; Part III. Heat Kernel Calculations and Surgery ; Non-Laplace Type Operators on Manifolds with Boundary Eta Invariants for Manifold with Boundary Heat Kernels of the Sub-Laplacian and the Laplacian on Nilpotent Lie Groups ; Remarks on Nonlocal Trace Expansion Coefficients ; An Anomaly Formula for L2-Analytic Torsions on Manifolds with Boundary ; Conformal Anomalies via Canonical Traces Part IV. Noncommutative Geometry An Analytic Approach to Spectral Flow in von Neumann Algebras ; Elliptic Operators on Infinite Graphs ; A New Kind of Index Theorem ; A Note on Noncommutative Holomorphic and Harmonic Functions on the Unit Disk ; Star Products and Central Extensions An Elementary Proof of the Homotopy Equivalence between the Restricted General Linear Group and the Space of Fredholm Operators Part V. Theoretical Particle String and Membrane Physics and Hamiltonian Dynamics ; T-DUALITY FOR NON-FREE CIRCLE ACTIONS A New Spectral Cancellation in Quantum Gravity |
| Record Nr. | UNINA-9910813044403321 |
| Singapore ; ; Hackensack, NJ, : World Scientific, c2006 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Anschauliche Topologie : eine Einf. in die elementare Topologie und Graphentheorie / von Kurt Peter Muller und Heinrich Wolpert
| Anschauliche Topologie : eine Einf. in die elementare Topologie und Graphentheorie / von Kurt Peter Muller und Heinrich Wolpert |
| Autore | Muller, Kurt Peter |
| Pubbl/distr/stampa | Stuttgart : Teubner, 1976 |
| Descrizione fisica | 168 p. : 201 ill. ; 21 cm |
| Disciplina | 514.3 |
| Altri autori (Persone) | Wolpert, Heinrich |
| Collana | Mathematik fur die Lehrerausbildung |
| Soggetto topico |
Graph theory
Low-dimensional topology Topology |
| ISBN | 3519027097 |
| Classificazione |
AMS 57M
LC QA611.M77 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | ger |
| Record Nr. | UNISALENTO-991000686819707536 |
|
Muller, Kurt Peter
|
||
| Stuttgart : Teubner, 1976 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
| ||
Application of braid groups in 2d hall system physics [[electronic resource] ] : composite fermion structure / / Janusz Jacak ... [et al.]
| Application of braid groups in 2d hall system physics [[electronic resource] ] : composite fermion structure / / Janusz Jacak ... [et al.] |
| Pubbl/distr/stampa | Singapore, : World Scientific, 2012 |
| Descrizione fisica | 1 online resource (160 p.) |
| Disciplina | 530.12 |
| Altri autori (Persone) | JacakJanusz |
| Soggetto topico |
Electrodynamics
Quantum theory Topology |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-299-28107-9
981-4412-03-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Acknowledgments; Preface; Contents; 1. Introduction; 2. Elements of Hall system physics in 2D spaces; 2.1 Laughlin function; 2.2 Composite fermions; 2.2.1 Composite fermions in Jain's model; 2.2.2 Composite fermions in Read's model; 2.2.3 Local gauge transformations corresponding to Jain's flux tubes and Read's vortices in the structure of composite fermions; 3. Topological methods for the description of many particle systems at various manifolds; 3.1 Braid groups; 3.1.1 Full braid groups for R3, R2, sphere S2 and torus T; 3.1.2 Pure braid group
3.2 Feynman integrals over trajectories and the relation with the one-dimensional unitary representations of the full braid group 3.3 Bosons, fermions, anyons and composite particles; 3.3.1 Anyons on the plane, sphere and torus; 3.3.2 Quantum statistics and braid groups; 3.4 Multidimensional unitary irreducible representations of braid groups; 4. Cyclotron braids for multi-particle-charged 2D systems in a strong magnetic field; 4.1 Insufficient length of cyclotron radii in 2D systems in a strong magnetic field; 4.2 Definition of the cyclotron braid subgroup and its unitary representations 4.3 Multi-loop trajectories-the response of the system to cyclotron trajectories that are too short 4.4 Cyclotron structure of composite fermions; 4.5 The role of the Coulomb interaction; 4.6 Composite fermions in terms of cyclotron groups; 4.7 Hall metal in the description of cyclotron groups; 4.8 Comments on restrictions for the multi-loop structure of cyclotron braids; 4.8.1 Periodic character of wave packets' dynamics; 4.8.2 Quasi-classical character of quantization of the magnetic field flux; 4.9 Cyclotron groups in the case of graphene; 5. Recent progress in FQHE field 5.1 The role of carrier mobility in triggering fractional quantum Hall effect in graphene 5.2 Development of Hall-type experiment in conventional semiconductor materials; 5.3 Topological insulators-new state of condensed matter; 5.3.1 Chern topological insulators; 5.3.2 Spin-Hall topological insulators; 5.4 Topological states in optical lattices; 6. Summary; 7. Comments and supplements; 7.1 The wave function for a completely filled lowest Landau level; 7.2 Paired Pfaffian states; 7.2.1 Fermi sea instability toward the creation of Cooper pairs in the presence of particle attraction 7.3 Basic definitions in group theory 7.4 Homotopy groups; 7.4.1 Definition of homotopy; 7.4.2 Homotopic transformations; 7.4.3 Properties of homotopy; 7.4.4 Loop homotopy; 7.5 Configuration space; 7.5.1 First homotopy group of configuration space for many particle systems; 7.5.2 Covering space; 7.6 Braid groups for the chosen manifolds; 7.6.1 Braid group for a two-dimensional Euclidean space R2; 7.6.2 Braid group for a sphere S2; 7.6.3 Braid group for a torus T; 7.6.4 The braid group for the three-dimensional Euclidean space R3; 7.6.5 Braid group for a line R1 and a circle S1 7.7 Exact sequences for braid groups |
| Record Nr. | UNINA-9910465395803321 |
| Singapore, : World Scientific, 2012 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Application of braid groups in 2D Hall system physics : composite fermion structure / Janusz Jacak ... [et al.]
| Application of braid groups in 2D Hall system physics : composite fermion structure / Janusz Jacak ... [et al.] |
| Pubbl/distr/stampa | Singapore ; Hackensack, NJ : World Scientific, c2012 |
| Descrizione fisica | xi, 147 p. : ill. ; 24 cm |
| Disciplina | 533.2 |
| Altri autori (Persone) | Jacak, Januszauthor |
| Soggetto topico |
Braid theory
Fermions Quantum Hall effect Electrodynamics Quantum theory Topology |
| ISBN | 9789814412025 |
| Classificazione |
LC QC793.5.F42
53.3.11 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991002102999707536 |
| Singapore ; Hackensack, NJ : World Scientific, c2012 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
| ||
Application of braid groups in 2d hall system physics [[electronic resource] ] : composite fermion structure / / Janusz Jacak ... [et al.]
| Application of braid groups in 2d hall system physics [[electronic resource] ] : composite fermion structure / / Janusz Jacak ... [et al.] |
| Pubbl/distr/stampa | Singapore, : World Scientific, 2012 |
| Descrizione fisica | 1 online resource (160 p.) |
| Disciplina | 530.12 |
| Altri autori (Persone) | JacakJanusz |
| Soggetto topico |
Electrodynamics
Quantum theory Topology |
| ISBN |
1-299-28107-9
981-4412-03-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Acknowledgments; Preface; Contents; 1. Introduction; 2. Elements of Hall system physics in 2D spaces; 2.1 Laughlin function; 2.2 Composite fermions; 2.2.1 Composite fermions in Jain's model; 2.2.2 Composite fermions in Read's model; 2.2.3 Local gauge transformations corresponding to Jain's flux tubes and Read's vortices in the structure of composite fermions; 3. Topological methods for the description of many particle systems at various manifolds; 3.1 Braid groups; 3.1.1 Full braid groups for R3, R2, sphere S2 and torus T; 3.1.2 Pure braid group
3.2 Feynman integrals over trajectories and the relation with the one-dimensional unitary representations of the full braid group 3.3 Bosons, fermions, anyons and composite particles; 3.3.1 Anyons on the plane, sphere and torus; 3.3.2 Quantum statistics and braid groups; 3.4 Multidimensional unitary irreducible representations of braid groups; 4. Cyclotron braids for multi-particle-charged 2D systems in a strong magnetic field; 4.1 Insufficient length of cyclotron radii in 2D systems in a strong magnetic field; 4.2 Definition of the cyclotron braid subgroup and its unitary representations 4.3 Multi-loop trajectories-the response of the system to cyclotron trajectories that are too short 4.4 Cyclotron structure of composite fermions; 4.5 The role of the Coulomb interaction; 4.6 Composite fermions in terms of cyclotron groups; 4.7 Hall metal in the description of cyclotron groups; 4.8 Comments on restrictions for the multi-loop structure of cyclotron braids; 4.8.1 Periodic character of wave packets' dynamics; 4.8.2 Quasi-classical character of quantization of the magnetic field flux; 4.9 Cyclotron groups in the case of graphene; 5. Recent progress in FQHE field 5.1 The role of carrier mobility in triggering fractional quantum Hall effect in graphene 5.2 Development of Hall-type experiment in conventional semiconductor materials; 5.3 Topological insulators-new state of condensed matter; 5.3.1 Chern topological insulators; 5.3.2 Spin-Hall topological insulators; 5.4 Topological states in optical lattices; 6. Summary; 7. Comments and supplements; 7.1 The wave function for a completely filled lowest Landau level; 7.2 Paired Pfaffian states; 7.2.1 Fermi sea instability toward the creation of Cooper pairs in the presence of particle attraction 7.3 Basic definitions in group theory 7.4 Homotopy groups; 7.4.1 Definition of homotopy; 7.4.2 Homotopic transformations; 7.4.3 Properties of homotopy; 7.4.4 Loop homotopy; 7.5 Configuration space; 7.5.1 First homotopy group of configuration space for many particle systems; 7.5.2 Covering space; 7.6 Braid groups for the chosen manifolds; 7.6.1 Braid group for a two-dimensional Euclidean space R2; 7.6.2 Braid group for a sphere S2; 7.6.3 Braid group for a torus T; 7.6.4 The braid group for the three-dimensional Euclidean space R3; 7.6.5 Braid group for a line R1 and a circle S1 7.7 Exact sequences for braid groups |
| Record Nr. | UNINA-9910792056903321 |
| Singapore, : World Scientific, 2012 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Application of braid groups in 2d hall system physics [[electronic resource] ] : composite fermion structure / / Janusz Jacak ... [et al.]
| Application of braid groups in 2d hall system physics [[electronic resource] ] : composite fermion structure / / Janusz Jacak ... [et al.] |
| Pubbl/distr/stampa | Singapore, : World Scientific, 2012 |
| Descrizione fisica | 1 online resource (160 p.) |
| Disciplina | 530.12 |
| Altri autori (Persone) | JacakJanusz |
| Soggetto topico |
Electrodynamics
Quantum theory Topology |
| ISBN |
1-299-28107-9
981-4412-03-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Acknowledgments; Preface; Contents; 1. Introduction; 2. Elements of Hall system physics in 2D spaces; 2.1 Laughlin function; 2.2 Composite fermions; 2.2.1 Composite fermions in Jain's model; 2.2.2 Composite fermions in Read's model; 2.2.3 Local gauge transformations corresponding to Jain's flux tubes and Read's vortices in the structure of composite fermions; 3. Topological methods for the description of many particle systems at various manifolds; 3.1 Braid groups; 3.1.1 Full braid groups for R3, R2, sphere S2 and torus T; 3.1.2 Pure braid group
3.2 Feynman integrals over trajectories and the relation with the one-dimensional unitary representations of the full braid group 3.3 Bosons, fermions, anyons and composite particles; 3.3.1 Anyons on the plane, sphere and torus; 3.3.2 Quantum statistics and braid groups; 3.4 Multidimensional unitary irreducible representations of braid groups; 4. Cyclotron braids for multi-particle-charged 2D systems in a strong magnetic field; 4.1 Insufficient length of cyclotron radii in 2D systems in a strong magnetic field; 4.2 Definition of the cyclotron braid subgroup and its unitary representations 4.3 Multi-loop trajectories-the response of the system to cyclotron trajectories that are too short 4.4 Cyclotron structure of composite fermions; 4.5 The role of the Coulomb interaction; 4.6 Composite fermions in terms of cyclotron groups; 4.7 Hall metal in the description of cyclotron groups; 4.8 Comments on restrictions for the multi-loop structure of cyclotron braids; 4.8.1 Periodic character of wave packets' dynamics; 4.8.2 Quasi-classical character of quantization of the magnetic field flux; 4.9 Cyclotron groups in the case of graphene; 5. Recent progress in FQHE field 5.1 The role of carrier mobility in triggering fractional quantum Hall effect in graphene 5.2 Development of Hall-type experiment in conventional semiconductor materials; 5.3 Topological insulators-new state of condensed matter; 5.3.1 Chern topological insulators; 5.3.2 Spin-Hall topological insulators; 5.4 Topological states in optical lattices; 6. Summary; 7. Comments and supplements; 7.1 The wave function for a completely filled lowest Landau level; 7.2 Paired Pfaffian states; 7.2.1 Fermi sea instability toward the creation of Cooper pairs in the presence of particle attraction 7.3 Basic definitions in group theory 7.4 Homotopy groups; 7.4.1 Definition of homotopy; 7.4.2 Homotopic transformations; 7.4.3 Properties of homotopy; 7.4.4 Loop homotopy; 7.5 Configuration space; 7.5.1 First homotopy group of configuration space for many particle systems; 7.5.2 Covering space; 7.6 Braid groups for the chosen manifolds; 7.6.1 Braid group for a two-dimensional Euclidean space R2; 7.6.2 Braid group for a sphere S2; 7.6.3 Braid group for a torus T; 7.6.4 The braid group for the three-dimensional Euclidean space R3; 7.6.5 Braid group for a line R1 and a circle S1 7.7 Exact sequences for braid groups |
| Record Nr. | UNINA-9910816078403321 |
| Singapore, : World Scientific, 2012 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Soggetto topico
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Topology
(684)
- Geometry (71)
- Mathematics (65)
- Algebraic topology (35)
- Algebra (34)