Dariusz Chruscinski,
Andrzej Jamiolkowski
Geometric Phases in Classical and Quantum Mechanics
Paperback Engels 2012 9781461264750Levertijd ongeveer 9 werkdagen
Gratis verzonden
Samenvatting
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.
Specificaties
ISBN13:9781461264750
Taal:Engels
Bindwijze:paperback
Aantal pagina's:337
Uitgever:Birkhäuser Boston
Druk:0
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Inhoudsopgave
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
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