Gustafson, Stephen J., 1972-

Mathematical concepts of quantum mechanics / Stephen J. Gustafson, Israel Michael Sigal. - 2nd ed. - Heidelberg ; New York : Springer, c2011. - xiii, 382 p. : ill. ; 24 cm. - Universitext .

Includes bibliographical references and index.

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.

9783642218651 3642218652 (pbk. : alk. paper) 9783642218668 (ebk.)

2011935880


Quantum theory.
Quantum theory--Mathematics.

QC174.12 / .G87 2011

530.12