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Coherent States, Wavelets and Their Generalizations

Coherent States, Wavelets and Their Generalizations - Graduate Texts in Contemporary Physics

2000

Hardback (01 Jan 2000)

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Publisher's Synopsis

A survey of the theory of coherent states, wavelets, and some of their generalizations, emphasizing mathematical structures. Starting from the standard theory of coherent states over Lie groups, the authors generalize the formalism by associating coherent states to group representations that are square integrable over a homogeneous space; a further step allows the group context to be dispensed with altogether. The unified background makes transparent otherwise obscure properties of wavelets and of coherent states. Many concrete examples, such as semisimple Lie groups, the relativity group, and several kinds of wavelets, are discussed in detail. The book concludes with physical applications, centering on the quantum measurement problem and the quantum-classical transition. Intended as an introduction to current research for graduate students and others entering the field, the mathematical discussion is self- contained. With its extensive references to the research literature, the book will also be a useful compendium of recent results for physicists and mathematicians already active in the field.

Book information

ISBN: 9780387989082
Publisher: Springer New York
Imprint: Springer
Pub date:
Edition: 2000
DEWEY: 530.124
DEWEY edition: 21
Language: English
Number of pages: 418
Weight: 785g
Height: 235mm
Width: 155mm
Spine width: 23mm