Mathematical concepts of quantum mechanics
By: Stephen J. Gustafson, Israel Michael Sigal
Contributors: Sigal, Israel Michael, 1945-
Edition: 2nd ed.
Series: Universitext
Publisher: Springer
Published: 2011
Place of publication: Heidelberg; New York
Language: eng
Number of pages: 382
ISBN-13: 9783642218651; 9783642218668
Subjects: Quantum theory; Mathematics
Notes: Includes bibliographical references and index.
Table of contents: title: 1. Physical background; title: 2. Dynamics; title: 3. Observables; title: 4. Quantization; title: 5. Uncertainty principle and stability of atoms and molecules; title: 6. Spectrum and dynamics; title: 7. Special cases; title: 8. Bound states and variational  principle; title: 9. Scattering states; title: 10. Existence of atoms and molecules; title: 11. Perturbation theory: Freshbach-Schur method; title: 12. General theory of many-particle systems; title: 13. Self-consistent approximations; title: 14. The Feynman path integral; title: 15. Quasi-classical analysis; title: 16. Resonances; title: 17. Quantum statistics; title: 18. The second quantization; title: 19. Quantum electro-magnetic field - photons; title: 20. Standard model of non-relativistic matter and radiation; title: 21. Theory of radiation; title: 22. Renormalization group; title: 23. Mathematical supplement: spectral analysis; title: 24. Mathematical supplement: the calculus of variations; title: 25. Comments on literature, and further reading.