Geometric phases in classical and quantum mechanics
Author(s)
Bibliographic Information
Geometric phases in classical and quantum mechanics
（Progress in mathematical physics / editors-in-chief, Anne Boutet de Monvel, Gerald Kaiser, v. 36）
Birkhäuser, c2004
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Note
Includes bibliographical references(p. [311]-327) and index
Description and Table of Contents
Description
Several well-established geometric and topological methods are used in this work in an application to a beautiful physical phenomenon known as the geometric phase. This book examines the geometric phase, bringing together different physical phenomena under a unified mathematical scheme. The material is presented so that graduate students and researchers in applied mathematics and physics with an understanding of classical and quantum mechanics can handle the text.
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
by "Nielsen BookData"