Advanced Quantum Mechanics
This second volume on quantum mechanics by Franz Schwabl discusses nonrelativistic multi-particle systems, relativistic wave equations and relativistic fields. As usual the text follows a compelling mathematical presentation where all intermediate steps are given and where numerous examples for appl...
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Format: | eBook |
Language: | English |
Published: |
Berlin, Heidelberg
Springer Berlin Heidelberg
1999, 1999
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Edition: | 1st ed. 1999 |
Series: | Advanced Texts in Physics
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Subjects: | |
Online Access: | |
Collection: | Springer Book Archives -2004 - Collection details see MPG.ReNa |
Table of Contents:
- I. Nonrelativistic Many-Particle Systems
- 1. Second Quantization
- 2. Spin-1/2 Fermions
- 3. Bosons
- 4. Correlation Functions, Scattering, and Response
- II. Relativistic Wave Equations
- 5. Relativistic Wave Equations and their Derivation
- 6. Lorentz Transformations and Covariance of the Dirac Equation
- 7. Orbital Angular Momentum and Spin
- 8. The Coulomb Potential
- 9. The Foldy-Wouthuysen Transformation and Relativistic Corrections
- 10. Physical Interpretation of the Solutions to the Dirac Equation
- 11. Symmetries and Further Properties of the Dirac Equation
- III. Relativistic Fields
- 12. Quantization of Relativistic Fields
- 13. Free Fields
- 14. Quantization of the Radiation Field
- 15. Interacting Fields, Quantum Electrodynamics
- A Alternative Derivation of the Dirac Equation
- B Dirac Matrices
- B.1 Standard Representation
- B.2 Chiral Representation
- B.3 Majorana Representations
- C Projection Operators for the Spin
- C.1 Definition
- C.2 Rest Frame
- D The Path-Integral Representation of Quantum Mechanics
- E Covariant Quantization of the Electromagnetic Field, the Gupta-Bleuler Method
- E.1 Quantization and the Feynman Propagator
- E.2 The Physical Significance of Longitudinal and Scalar Photons
- E.3 The Feynman Photon Propagator
- E.4 Conserved Quantities
- F Coupling of Charged Scalar Mesons to the Electromagnetic Field