Geometric Phases in Classical and Quantum Mechanics

Dariusz Chruscinski, Andrzej Jamiolkowski (Autoren)

Buch | Hardcover

337 Seiten

2004
Birkhauser Boston Inc (Verlag)
978-0-8176-4282-2 (ISBN)

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Presents basic mathematical tools on manifolds and differential forms. This book explains topological invariants (Chern classes and homotopy theory) with emphasis on physical applications. It is suitable for physicists and graduate students in physics for learning techniques of differential geometry in an applied context.

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.

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.

Reihe/Serie	Progress in Mathematical Physics ; 36
Zusatzinfo	XIII, 337 p.
Verlagsort	Secaucus
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
	Naturwissenschaften ► Physik / Astronomie ► Mechanik
	Naturwissenschaften ► Physik / Astronomie ► Quantenphysik
ISBN-10	0-8176-4282-X / 081764282X
ISBN-13	978-0-8176-4282-2 / 9780817642822
Zustand	Neuware