E-Book, Englisch, Band 36, 337 Seiten, eBook
Chruscinski / Jamiolkowski Geometric Phases in Classical and Quantum Mechanics
2004
ISBN: 978-0-8176-8176-0
Verlag: Birkhäuser Boston
Format: PDF
Kopierschutz: 1 - PDF Watermark
E-Book, Englisch, Band 36, 337 Seiten, eBook
Reihe: Progress in Mathematical Physics
ISBN: 978-0-8176-8176-0
Verlag: Birkhäuser Boston
Format: PDF
Kopierschutz: 1 - PDF Watermark
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.
Zielgruppe
Research
Autoren/Hrsg.
Weitere Infos & Material
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
