Mathematical concepts of quantum mechanics [electronic resource] / Stephen J. Gustafson, Israel Michael Sigal.

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Bibliographic Details
Main Author: Gustafson, Stephen J., 1972-
Other Authors: Sigal, Israel Michael, 1945-
Language:English
Published: Heidelberg ; New York : Springer, c2011.
Edition:2nd ed.
Series:Universitext
Subjects:
Quantum theory.
Quantum theory > Mathematics.
Online Access:
Springer English/International eBooks 2011 - Full Set: 2011 (Springer Link)
Format: Electronic eBook
Contents:
  • 1. Physical background
  • 2. Dynamics
  • 3. Observables
  • 4. Quantization
  • 5. Uncertainty principle and stability of atoms and molecules
  • 6. Spectrum and dynamics
  • 7. Special cases
  • 8. Bound states and variational principle
  • 9. Scattering states
  • 10. Existence of atoms and molecules
  • 11. Perturbation theory: Freshbach-Schur method
  • 12. General theory of many-particle systems
  • 13. Self-consistent approximations
  • 14. The Feynman path integral
  • 15. Quasi-classical analysis
  • 16. Resonances
  • 17. Quantum statistics
  • 18. The second quantization
  • 19. Quantum electro-magnetic field - photons
  • 20. Standard model of non-relativistic matter and radiation
  • 21. Theory of radiation
  • 22. Renormalization group
  • 23. Mathematical supplement: spectral analysis
  • 24. Mathematical supplement: the calculus of variations
  • 25. Comments on literature, and further reading.