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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Bibliographic Details
Main Author: Schwabl, Franz
Format: eBook
Language:English
Published: Berlin, Heidelberg Springer Berlin Heidelberg 1999, 1999
Edition:1st ed. 1999
Series:Advanced Texts in Physics
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