The Geometric Phase in Quantum Systems:

Foundations, Mathematical Concepts, and Applications in Molecular and Condensed Matter Physics

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Series: Texts and Monographs in Physics
Bohm, A., Mostafazadeh, A., Koizumi, H., Niu, Q., Zwanziger, J.
2003, XVIII, 447 p. 57 illus., Hardcover
ISBN: 3-540-00031-3



Keywords: Aharanov-Bohm Effect, Berry Phase, Born-Oppenheimer Method, Geometric Phase, Topological Phase, Hall Effect, Jahn-Teller System, Spin Systems, Fiber Bundles, Universal Classifying Spaces


From the reviews:

"... The Geometric Phase in Quantum Systems is the first thorough book on geometric phases and fills an important gap in the physical literature. Other books on the subject will undoubtedly follow. But it will take a fairly long time before other authors can cover that same variety of concepts in such a comprehensive manner.... This book is addressed to graduate physics and chemistry students and was written thinking of students. However, I would recommend it also to young and mature physicists, even those who are already `into' the subject" [S. Pascazio, Journal of Physics A 36 (December 2003) 12345]

 

"... The Geometric Phase in Quantum Systems is the first comprehensive monograph on geometric phases in quantum physics that covers the subject from its mathematical foundations to its physical applications and experimental manifestations. This wide range of topics is treated in a unified and logically consistent way and offers the reader a coherent view of a rich and diverse young field of physics that is now coming of age. This timely book comes to satisfy the long felt need for a compact yet inclusive treatment of geometric phases in one single well written volume, and, in so doing, it fills an important gap in the physics literature." [A.Mondragón, International Journal of Geometric Methods in Modern Physics 2 (August 2005) 733]

 

"...useful for experts in mathematical physics...this is a very interesting book, which deserves to be found in any physical library." [Optics & Photonics News, (July/August 2005)].