E-book
Mathematical Concepts of Quantum Mechanics [electronic resource] / by Stephen J. Gustafson, Israel Michael Sigal.
Record details
- ISBN: 9783642218668
- Physical Description: XIII, 382p. 37 illus. digital.
- Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 2011.
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| Subject: | Mathematics. Functional analysis. Quantum theory. Mathematics. Functional Analysis. Theoretical, Mathematical and Computational Physics. Quantum Physics. |
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Electronic resources
| 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. |
