Geometric Phases in Classical and Quantum Mechanics (Paperback, Softcover Repri)

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