Geometric phases in classical and quantum mechanics /
Saved in:
Author / Creator: | Chruściński, Dariusz. |
---|---|
Imprint: | Boston : Birkhäuser, c2004. |
Description: | xii, 333 p. : ill. ; 25 cm. |
Language: | English |
Series: | Progress in mathematical physics ; v. 36 |
Subject: | |
Format: | Print Book |
URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/5206358 |
Table of Contents:
- Introduction
- 0. Preliminary Mathematical Background
- I. The Adiabatic Phase
- 1. The Adiabatic Phase in Quantum Mechanics
- 2. The Adiabatic Phase in Classical Mechanics
- 3. Adiabatic phase and holonomy
- II. Differential Geometry and the Geometric Phase
- 4. Geometry of a sphere and the geometric phase
- III. The Geometry of Quantum Evolution
- 5. The Aharonov--Anandan phase
- 6. Geometric phase for a non-cyclic evolution
- IV. Examples and Applications
- 7. Harmonic oscillator
- 8. Geometric phase in optics
- 9. Geometric phase in molecular systems
- 10. Geometric phase and the motion in noninertial frames
- Mathematical Appendices
- References
- Index