Geometric Phases in Classical and Quantum Mechanics

Softcover Nachdruck of the original 1. Auflage 2004
ISBN: 978-1-4612-6475-0
Verlag: Birkhäuser Boston

Buch, Englisch, Band 36, 337 Seiten, Paperback, Format (B × H): 155 mm x 235 mm, Gewicht: 540 g

Reihe: Progress in Mathematical Physics

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.

Jamiolkowski, Andrzej

Chruscinski, Dariusz

Fachgebiete

• Mathematik | Informatik Mathematik Geometrie Differentialgeometrie
• Mathematik | Informatik Mathematik Algebra Algebraische Strukturen, Gruppentheorie
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
• Naturwissenschaften Physik Quantenphysik
• Naturwissenschaften Physik Physik Allgemein Theoretische Physik, Mathematische Physik, Computerphysik
• Naturwissenschaften Physik Mechanik

Inhaltsverzeichnis

1 Mathematical Background.- 2 Adiabatic Phases in Quantum Mechanics.- 3 Adiabatic Phases in Classical Mechanics.- 4 Geometric Approach to Classical Phases.- 5 Geometry of Quantum Evolution.- 6 Geometric Phases in Action.- A Classical Matrix Lie Groups and Algebras.- B Quaternions.