Info
- Utilizzare la checkbox di selezione a fianco di ciascun documento per attivare le funzionalità di stampa, invio email, download nei formati disponibili del (i) record.
Infinite-dimensional Dirac operators and supersymmetric quantum fields : an introduction to analysis on Boson-Fermion Fock spaces / / Asao Arai
| Infinite-dimensional Dirac operators and supersymmetric quantum fields : an introduction to analysis on Boson-Fermion Fock spaces / / Asao Arai |
| Autore | Arai Asao |
| Pubbl/distr/stampa | Singapore : , : Springer, , [2022] |
| Descrizione fisica | 1 online resource (123 pages) |
| Disciplina | 610 |
| Collana | SpringerBriefs in Mathematical Physics |
| Soggetto topico |
Quantum field theory
Teoria quàntica de camps |
| Soggetto genere / forma | Llibres electrònics |
| ISBN |
9789811956782
9789811956775 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro -- Preface -- Contents -- Symbols -- Numbers -- Operational Symbols -- Other Symbols -- 1 Abstract Supersymmetric Quantum Mechanics -- 1.1 Definition and Basic Properties -- 1.2 Reflection Symmetry of the Spectrum of a Self-adjoint Supercharge -- 1.3 Orthogonal Decomposition of State Vectors -- 1.4 Operator Matrix Representations -- 1.5 Construction of SQM -- 1.5.1 Method I -- 1.5.2 Method II -- 1.6 Spectral Supersymmetry -- 1.7 Ground States -- 1.8 Spontaneous Supersymmetry Breaking and an Index Formula -- 2 Elements of the Theory of Fock Spaces -- 2.1 Full Fock Space -- 2.2 Boson Fock Space -- 2.3 Fermion Fock Space -- 2.4 Second Quantization Operators on the Full Fock Space -- 2.5 Boson Second Quantization Operators -- 2.6 Fermion Second Quantization Operators -- 2.7 Infinite Determinants -- 2.8 Boson Creation and Annihilation Operators -- 2.9 Segal Field Operator -- 2.10 Isomorphisms Among Boson Fock Spaces -- 2.11 Fermion Creation and Annihilation Operators -- 2.12 Fermion Quadratic Operators -- 3 Q-space Representation of Boson Fock Space -- 3.1 Gaussian Random Process -- 3.2 Natural Isomorphism of Boson Fock Spaces -- 3.3 Gradient Operator -- 3.4 More General Natural Isomorphisms of Boson Fock Spaces -- 4 Boson-Fermion Fock Spaces and Abstract Supersymmetric Quantum Field Models -- 4.1 Boson-Fermion Fock Space -- 4.2 Q-Space Representation of Boson-Fermion Fock Space -- 4.3 Exterior Differential Operators -- 4.3.1 Definitions and Basic Properties -- 4.3.2 A Cochain Complex -- 4.4 Operators in the Q-space Representation -- 4.5 Hilbert Complex -- 4.5.1 Definitions and Basic Facts -- 4.5.2 Laplace-Beltrami Operators of Finite Order and de Rham-Hodge-Kodaira Decompositions -- 4.5.3 The Dirac and the Laplace-Beltrami Operators Associated With a Hilbert Complex -- 4.5.4 Supersymmetric Structure.
4.6 Hilbert Complexes Associated With Boson-Fermion Fock Space -- 4.7 Laplace-Beltrami Operators on Boson-Fermion Fock Space -- 4.8 Dirac Operators on Boson-Fermion Fock Space -- 4.9 Strong Anti-Commutativity of Dirac Operators -- 4.10 Perturbations of Dirac Operator QS -- 4.10.1 Witten Deformation -- 4.10.2 More General Perturbations -- 4.11 Explicit Form of Supersymmetric Hamiltonian HS(F) -- 4.12 Path Integral Representation of the Index of QS,+(F) -- 4.12.1 Path Integral Representations of Pure Imaginary Time Correlation Functions of Bose Fields -- 4.12.2 Index Formula -- 5 Models in Supersymmetric Quantum Field Theory -- 5.1 Preliminaries -- 5.1.1 Momentum Operator of a Quantum Particle in Tell -- 5.1.2 The Free Quantum Klein-Gordon Field on Mell -- 5.1.3 The Majorana Field on Mell -- 5.2 The N=1 Wess-Zumino Model on Mell -- 5.2.1 The Free Case -- 5.2.2 The Interacting Case -- 5.3 The N=2 Wess-Zumino Model on Mell -- 5.4 Other Models -- Appendix A Self-adjoint Extensions of a Symmetric Operator Matrix -- Appendix B Construction of an Infinite-Dimensional Gaussian Measure on a Path Space -- Appendix References -- -- Index. |
| Record Nr. | UNINA-9910619279503321 |
Arai Asao
|
||
| Singapore : , : Springer, , [2022] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Infinite-dimensional Dirac operators and supersymmetric quantum fields : an introduction to analysis on Boson-Fermion Fock spaces / / Asao Arai
| Infinite-dimensional Dirac operators and supersymmetric quantum fields : an introduction to analysis on Boson-Fermion Fock spaces / / Asao Arai |
| Autore | Arai Asao |
| Pubbl/distr/stampa | Singapore : , : Springer, , [2022] |
| Descrizione fisica | 1 online resource (123 pages) |
| Disciplina | 610 |
| Collana | SpringerBriefs in Mathematical Physics |
| Soggetto topico |
Quantum field theory
Teoria quàntica de camps |
| Soggetto genere / forma | Llibres electrònics |
| ISBN |
9789811956782
9789811956775 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro -- Preface -- Contents -- Symbols -- Numbers -- Operational Symbols -- Other Symbols -- 1 Abstract Supersymmetric Quantum Mechanics -- 1.1 Definition and Basic Properties -- 1.2 Reflection Symmetry of the Spectrum of a Self-adjoint Supercharge -- 1.3 Orthogonal Decomposition of State Vectors -- 1.4 Operator Matrix Representations -- 1.5 Construction of SQM -- 1.5.1 Method I -- 1.5.2 Method II -- 1.6 Spectral Supersymmetry -- 1.7 Ground States -- 1.8 Spontaneous Supersymmetry Breaking and an Index Formula -- 2 Elements of the Theory of Fock Spaces -- 2.1 Full Fock Space -- 2.2 Boson Fock Space -- 2.3 Fermion Fock Space -- 2.4 Second Quantization Operators on the Full Fock Space -- 2.5 Boson Second Quantization Operators -- 2.6 Fermion Second Quantization Operators -- 2.7 Infinite Determinants -- 2.8 Boson Creation and Annihilation Operators -- 2.9 Segal Field Operator -- 2.10 Isomorphisms Among Boson Fock Spaces -- 2.11 Fermion Creation and Annihilation Operators -- 2.12 Fermion Quadratic Operators -- 3 Q-space Representation of Boson Fock Space -- 3.1 Gaussian Random Process -- 3.2 Natural Isomorphism of Boson Fock Spaces -- 3.3 Gradient Operator -- 3.4 More General Natural Isomorphisms of Boson Fock Spaces -- 4 Boson-Fermion Fock Spaces and Abstract Supersymmetric Quantum Field Models -- 4.1 Boson-Fermion Fock Space -- 4.2 Q-Space Representation of Boson-Fermion Fock Space -- 4.3 Exterior Differential Operators -- 4.3.1 Definitions and Basic Properties -- 4.3.2 A Cochain Complex -- 4.4 Operators in the Q-space Representation -- 4.5 Hilbert Complex -- 4.5.1 Definitions and Basic Facts -- 4.5.2 Laplace-Beltrami Operators of Finite Order and de Rham-Hodge-Kodaira Decompositions -- 4.5.3 The Dirac and the Laplace-Beltrami Operators Associated With a Hilbert Complex -- 4.5.4 Supersymmetric Structure.
4.6 Hilbert Complexes Associated With Boson-Fermion Fock Space -- 4.7 Laplace-Beltrami Operators on Boson-Fermion Fock Space -- 4.8 Dirac Operators on Boson-Fermion Fock Space -- 4.9 Strong Anti-Commutativity of Dirac Operators -- 4.10 Perturbations of Dirac Operator QS -- 4.10.1 Witten Deformation -- 4.10.2 More General Perturbations -- 4.11 Explicit Form of Supersymmetric Hamiltonian HS(F) -- 4.12 Path Integral Representation of the Index of QS,+(F) -- 4.12.1 Path Integral Representations of Pure Imaginary Time Correlation Functions of Bose Fields -- 4.12.2 Index Formula -- 5 Models in Supersymmetric Quantum Field Theory -- 5.1 Preliminaries -- 5.1.1 Momentum Operator of a Quantum Particle in Tell -- 5.1.2 The Free Quantum Klein-Gordon Field on Mell -- 5.1.3 The Majorana Field on Mell -- 5.2 The N=1 Wess-Zumino Model on Mell -- 5.2.1 The Free Case -- 5.2.2 The Interacting Case -- 5.3 The N=2 Wess-Zumino Model on Mell -- 5.4 Other Models -- Appendix A Self-adjoint Extensions of a Symmetric Operator Matrix -- Appendix B Construction of an Infinite-Dimensional Gaussian Measure on a Path Space -- Appendix References -- -- Index. |
| Record Nr. | UNISA-996495169303316 |
|
Arai Asao
|
||
| Singapore : , : Springer, , [2022] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
Kontsevich’s Deformation Quantization and Quantum Field Theory [[electronic resource] /] / by Nima Moshayedi
| Kontsevich’s Deformation Quantization and Quantum Field Theory [[electronic resource] /] / by Nima Moshayedi |
| Autore | Moshayedi Nima |
| Edizione | [1st ed. 2022.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2022 |
| Descrizione fisica | 1 online resource (345 pages) |
| Disciplina | 530.143 |
| Collana | Lecture Notes in Mathematics |
| Soggetto topico |
Geometry, Differential
Manifolds (Mathematics) Global analysis (Mathematics) Quantum physics Differential Geometry Manifolds and Cell Complexes Global Analysis and Analysis on Manifolds Quantum Physics Teoria quàntica de camps Matemàtica |
| Soggetto genere / forma | Llibres electrònics |
| ISBN |
9783031051227
9783031051210 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISA-996485661903316 |
|
Moshayedi Nima
|
||
| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2022 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
Kontsevich’s Deformation Quantization and Quantum Field Theory / / by Nima Moshayedi
| Kontsevich’s Deformation Quantization and Quantum Field Theory / / by Nima Moshayedi |
| Autore | Moshayedi Nima |
| Edizione | [1st ed. 2022.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2022 |
| Descrizione fisica | 1 online resource (345 pages) |
| Disciplina | 530.143 |
| Collana | Lecture Notes in Mathematics |
| Soggetto topico |
Geometry, Differential
Manifolds (Mathematics) Global analysis (Mathematics) Quantum physics Differential Geometry Manifolds and Cell Complexes Global Analysis and Analysis on Manifolds Quantum Physics Teoria quàntica de camps Matemàtica |
| Soggetto genere / forma | Llibres electrònics |
| ISBN |
9783031051227
9783031051210 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910586580603321 |
|
Moshayedi Nima
|
||
| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2022 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Relativistic quantum mechanics and field theory [[electronic resource] /] / Franz Gross
| Relativistic quantum mechanics and field theory [[electronic resource] /] / Franz Gross |
| Autore | Gross Franz |
| Edizione | [Wiley science paperback ed.] |
| Pubbl/distr/stampa | New York, : Wiley, 1999, c1993 |
| Descrizione fisica | 1 online resource (646 p.) |
| Disciplina |
530.12
539.7 |
| Collana | Wiley science paperback series |
| Soggetto topico |
Relativistic quantum theory
Quantum field theory Symmetry (Physics) Gauge fields (Physics) Teoria quàntica de camps Simetria (Física) Camps de galga (Física) |
| Soggetto genere / forma | Llibres electrònics |
| ISBN |
1-281-76435-3
9786611764357 0-471-59113-0 3-527-61733-7 3-527-61734-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Relativistic Quantum Mechanics and Field Theory; CONTENTS; Preface; Part I QUANTUM THEORY OF RADIATION; 1. Quantization of the Nonrelativistic String; 1.1 The one-dimensional classical string; 1.2 Normal modes of the string; 1.3 Quantization of the string; 1.4 Canonical commutation relations; 1.5 The number operator and phonon states; 1.6 The quanta as particles; 1.7 The classical limit: Field-particle duality; 1.8 Time translation; Problems; 2. Quantization of the Electromagnetic Field; 2.1 Lorentz transformations; 2.2 Relativistic form of Maxwell's theory
2.3 Interactions between particles and fields2.4 Plane wave expansions; 2.5 Massive vector fields; 2.6 Field quantization; 2.7 Spin of the photon; Problems; 3. Interaction of Radiation with Matter; 3.1 Time evolution and the S-matrix; 3.2 Decay rates and cross sections; 3.3 Atomic decay; 3.4 The Lamb shift; 3.5 Deuteron photodisintegration; Problems; Part II RELATlVlSTlC EQUATIONS; 4. The Klein-Gordon Equation; 4.1 The equation; 4.2 Conserved norm; 4.3 Solutions for free particles; 4.4 Pair creation from a high Coulomb barrier; 4.5 Two-component form; 4.6 Nonrelativistic limit 4.7 Coulomb scattering4.8 Negative energy states; Problems; 5. The Dirac Equation; 5.1 The equation; 5.2 Conserved norm; 5.3 Solutions for free particles; 5.4 Charge conjugation; 5.5 Coulomb scattering; 5.6 Negative energy states; 5.7 Nonrelativistic limit; 5.8 The Lorentz group; 5.9 Covariance of the Dirac equation; 5.10 Bilinear covariants; 5.11 Chirality and massless fermions; Problems; 6. Application of the Dirac Equation; 6.1 Spherically symmetric potentials; 6.2 Hadronic structure; 6.3 Hydrogen-like atoms; Problems; Part III ELEMENTS OF QUANTUM FIELD THEORY; 7. Second Quantization 7.1 Schrödinger theory7.2 Identical particles; 7.3 Charged Klein-Gordon theory; 7.4 Dirac theory; 7.5 Interactions: An introduction; Problems; 8. Symmetries I; 8.1 Noether's theorem; 8.2 Translations; 8.3 Transformations of states and operators; 8.4 Parity; 8.5 Charge conjugation; 8.6 Time reversal; 8.7 The PCT theorem; Problems; 9. Interacting Field Theories; 9.1 Ø3 theory: An example; 9.2 Relativistic decays; 9.3 Relativistic scattering; 9.4 Introduction to the Feynman rules; 9.5 Calculation of the cross section; 9.6 Effective nonrelativistic potential; 9.7 Identical particles 9.8 Pion-nucleon interactions and isospin9.9 One-pion exchange; 9.10 Electroweak decays; Problems; 10. Quantum Electrodynamics; 10.1 The Hamiltonian; 10.2 Photon propagator: ep scattering; 10.3 Antiparticles: e+e- ->+ μ+μ-; 10.4 e+e- annihilation; 10.5 Fermion propagator: Compton scattering; Problems; 11. Loops and Introduction to Renormalization; 11.1 Wick's theorem; 11.2 QED to second order; 11.3 Electron self-energy; 11.4 Vacuum bubbles; 11.5 Vacuum polarization; 11.6 Loop integrals and dimensional regularization; 11.7 Dispersion relations; 11.8 Vertex corrections 11.9 Charge renormalization |
| Record Nr. | UNINA-9910144733903321 |
|
Gross Franz
|
||
| New York, : Wiley, 1999, c1993 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Relativistic quantum mechanics and field theory [[electronic resource] /] / Franz Gross
| Relativistic quantum mechanics and field theory [[electronic resource] /] / Franz Gross |
| Autore | Gross Franz |
| Edizione | [Wiley science paperback ed.] |
| Pubbl/distr/stampa | New York, : Wiley, 1999, c1993 |
| Descrizione fisica | 1 online resource (646 p.) |
| Disciplina |
530.12
539.7 |
| Collana | Wiley science paperback series |
| Soggetto topico |
Relativistic quantum theory
Quantum field theory Symmetry (Physics) Gauge fields (Physics) Teoria quàntica de camps Simetria (Física) Camps de galga (Física) |
| Soggetto genere / forma | Llibres electrònics |
| ISBN |
1-281-76435-3
9786611764357 0-471-59113-0 3-527-61733-7 3-527-61734-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Relativistic Quantum Mechanics and Field Theory; CONTENTS; Preface; Part I QUANTUM THEORY OF RADIATION; 1. Quantization of the Nonrelativistic String; 1.1 The one-dimensional classical string; 1.2 Normal modes of the string; 1.3 Quantization of the string; 1.4 Canonical commutation relations; 1.5 The number operator and phonon states; 1.6 The quanta as particles; 1.7 The classical limit: Field-particle duality; 1.8 Time translation; Problems; 2. Quantization of the Electromagnetic Field; 2.1 Lorentz transformations; 2.2 Relativistic form of Maxwell's theory
2.3 Interactions between particles and fields2.4 Plane wave expansions; 2.5 Massive vector fields; 2.6 Field quantization; 2.7 Spin of the photon; Problems; 3. Interaction of Radiation with Matter; 3.1 Time evolution and the S-matrix; 3.2 Decay rates and cross sections; 3.3 Atomic decay; 3.4 The Lamb shift; 3.5 Deuteron photodisintegration; Problems; Part II RELATlVlSTlC EQUATIONS; 4. The Klein-Gordon Equation; 4.1 The equation; 4.2 Conserved norm; 4.3 Solutions for free particles; 4.4 Pair creation from a high Coulomb barrier; 4.5 Two-component form; 4.6 Nonrelativistic limit 4.7 Coulomb scattering4.8 Negative energy states; Problems; 5. The Dirac Equation; 5.1 The equation; 5.2 Conserved norm; 5.3 Solutions for free particles; 5.4 Charge conjugation; 5.5 Coulomb scattering; 5.6 Negative energy states; 5.7 Nonrelativistic limit; 5.8 The Lorentz group; 5.9 Covariance of the Dirac equation; 5.10 Bilinear covariants; 5.11 Chirality and massless fermions; Problems; 6. Application of the Dirac Equation; 6.1 Spherically symmetric potentials; 6.2 Hadronic structure; 6.3 Hydrogen-like atoms; Problems; Part III ELEMENTS OF QUANTUM FIELD THEORY; 7. Second Quantization 7.1 Schrödinger theory7.2 Identical particles; 7.3 Charged Klein-Gordon theory; 7.4 Dirac theory; 7.5 Interactions: An introduction; Problems; 8. Symmetries I; 8.1 Noether's theorem; 8.2 Translations; 8.3 Transformations of states and operators; 8.4 Parity; 8.5 Charge conjugation; 8.6 Time reversal; 8.7 The PCT theorem; Problems; 9. Interacting Field Theories; 9.1 Ø3 theory: An example; 9.2 Relativistic decays; 9.3 Relativistic scattering; 9.4 Introduction to the Feynman rules; 9.5 Calculation of the cross section; 9.6 Effective nonrelativistic potential; 9.7 Identical particles 9.8 Pion-nucleon interactions and isospin9.9 One-pion exchange; 9.10 Electroweak decays; Problems; 10. Quantum Electrodynamics; 10.1 The Hamiltonian; 10.2 Photon propagator: ep scattering; 10.3 Antiparticles: e+e- ->+ μ+μ-; 10.4 e+e- annihilation; 10.5 Fermion propagator: Compton scattering; Problems; 11. Loops and Introduction to Renormalization; 11.1 Wick's theorem; 11.2 QED to second order; 11.3 Electron self-energy; 11.4 Vacuum bubbles; 11.5 Vacuum polarization; 11.6 Loop integrals and dimensional regularization; 11.7 Dispersion relations; 11.8 Vertex corrections 11.9 Charge renormalization |
| Record Nr. | UNINA-9910830882303321 |
|
Gross Franz
|
||
| New York, : Wiley, 1999, c1993 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
