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Lagrangian quantum field theory in momentum picture : free fields /
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
New York :
Nova Science Publishers,
©2008.
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| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- LAGRANGIAN QUANTUM FIELD THEORYIN MOMENTUM PICTURE. FREE FIELDS; NOTICE TO THE READER; Contents; List of Conventions; Preface; Acknowledgments; Lagrangian Formalism andthe Momentum Picture; 1. Introduction; 2. Lagrangian Formalism; 3. Derivatives Relative to Operatorsand Lagrangian Formalism; 4. Heisenberg Relations; 5. The Momentum Picture of Motion; 6. General Aspects of Lagrangian Formalismin Momentum Picture; 7. On the Momentum Representation and Particle Interpretation; 8. The Momentum Picture as 4-Dimensional Analogue ofthe Schr odinger One; 9. Conclusion; Free Scalar Fields.
- 1. IntroductionII. A. Neutral Scalar Fields; 2. Description of Free Neutral Scalar Fieldin Momentum Picture; 3. Analysis of the Klein-Gordon Equation; 4. Frequency Decompositions and Their PhysicalMeaning; 5. The Klein-Gordon Equations in Terms of Creation and Annihilation Operators; 6. Commutation Relations; 7. Vacuum and Normal Ordering; 8. State Vectors and Transitions between Them; II. B. Arbitrary Scalar Fields; 9. Description of Free Scalar Field; 10. Analysis of the Field Equations; 11. Frequency Decompositions and Their PhysicalMeaning.
- 12. The Field Equations in Terms of Creation and Annihilation Operators13. The Charge and Orbital Angular MomentumOperators; 14. Commutation Relations; 15. Vacuum and Normal Ordering; 16. State Vectors; 17. Conclusion; Free Spinor Fields; 1. Introduction; 2. Description of Free Spinor Field in Momentum Picture; 3. Analysis of the Dirac Equation(s); 4. Frequency Decompositions; 5. The Dynamical Variables in Terms of Creation and Annihilation Operators; 6. The Field Equations in Terms of Creation and Annihilation Operators; 7. Anticommutation Relations; 8. Vacuum and Normal Ordering.
- 9. State Vectors10. On the Choice of Lagrangian and Its Consequences; 11. Conclusion; Free Vector Fields; 1. Introduction; 2. Description of Free Vector Field in Momentum Picture; 3. Analysis of the Field Equations; 4. Frequency Decompositions and Creation and Annihilation Operators; 5. The Dynamical Variables inTerms of Creation and Annihilation Operators; 6. The Field Equations in Terms of Creation and Annihilation Operators; 7. Commutation Relations; 8. Vacuum and Normal Ordering; 9. State Vectors and Particle Interpretation; 10. The Massless Case and Electromagnetic Field in Lorenz Gauge.
- 10.1. Problems in the Massless CaseConjecture 10.2.; Conjecture 10.3.; 11. On the Choice of Lagrangian; 12. On the Role of the Lorenz Condition in the Massless Case; 12.1. Description of Free Massless Vector Fieldswithout the Lorenz Condition; 12.2. Analysis of the Euler-Lagrange Equations; 12.3. Dynamical Variables; 12.4. The Field Equations; 12.5. Discussion; 13. Conclusion; Commutation Relations for Free Fields; 1. Introduction; 2. Lagrangians, Euler-Lagrange Equationsand Dynamical Variables; 3. On the Uniqueness of the Dynamical Variables; 4. Heisenberg Relations.