Geometric phases in classical and quantum mechanics /

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Bibliographic Details
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
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Other authors / contributors:Jamiołkowski, Andrzej, 1946-
ISBN:081764282X (alk. paper)
Notes:Includes bibliographical references (p. [311]-327) and index.
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