The Geometric Phase in Quantum Systems

Arno Bohm

ISBN 10: 3540000313 / ISBN 13: 9783540000310

Published by Springer, Springer Jun 2003, 2003

About this Item

This item is printed on demand - Print on Demand Titel. Neuware -Intended for graduate physics and chemistry students, this is the first comprehensive monograph covering the concept of the geometric phase in quantum physics, from its mathematical foundations to its physical applications and experimental manifestations. It contains all the premises of the adiabatic Berry phase as well as the exact Anandan-Aharonov phase. It discusses quantum systems in a classical time-independent environment (time dependent Hamiltonians) and quantum systems in a changing environment (gauge theory of molecular physics). The mathematical methods used are a combination of differential geometry and the theory of linear operators in Hilbert Space. As a result, the monograph demonstrates how non-trivial gauge theories naturally arise and how the consequences can be experimentally observed. Readers benefit by gaining a deep understanding of the long-ignored gauge theoretic effects of quantum mechanics and how to measure them.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 468 pp. Englisch.

Seller Inventory # 9783540000310

Bibliographic Details

• Title: The Geometric Phase in Quantum Systems
• Publisher: Springer, Springer Jun 2003
• Publication Date: 2003
• Language: English
• ISBN 10: 3540000313
• ISBN 13: 9783540000310
• Binding: Buch
• Condition: Neu
• Dimensions: 241W x 160H x 31D millimeters 241 millimeters width by 160 millimeters height by 31 millimeters depth
• Weight: 863 grams

About this title

Synopsis

Aimed at graduate physics and chemistry students, this is the first comprehensive monograph covering the concept of the geometric phase in quantum physics from its mathematical foundations to its physical applications and experimental manifestations. It contains all the premises of the adiabatic Berry phase as well as the exact Anandan-Aharonov phase. It discusses quantum systems in a classical time-independent environment (time dependent Hamiltonians) and quantum systems in a changing environment (gauge theory of molecular physics). The mathematical methods used are a combination of differential geometry and the theory of linear operators in Hilbert Space. As a result, the monograph demonstrates how non-trivial gauge theories naturally arise and how the consequences can be experimentally observed. Readers benefit by gaining a deep understanding of the long-ignored gauge theoretic effects of quantum mechanics and how to measure them.