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Coherent States, Wavelets And Their Generalizations (graduate Texts In Contemporary Physics) by Syed Twareque Ali, Jean-Pierre Antoine, Jean-Pierre Gazeau (auth.) is a nonfiction available to read on EtoBox.

What is Coherent States, Wavelets And Their Generalizations (graduate Texts In Contemporary Physics) about?

This book presents a survey of the theory of coherent states, wavelets, and some of their generalizations, emphasizing mathematical structures. The point of view is that both the theories of both wavelets and coherent states can be subsumed into a single analytic structure. 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 one to dispense with the group context altogether. In this context, wavelets can be generated from coherent states of the affine group of the real line, and higher-dimensional wavelets arise from coherent states of other groups. 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

Who reads Coherent States, Wavelets And Their Generalizations (graduate Texts In Contemporary Physics)?

Author

Syed Twareque Ali, Jean-Pierre Antoine, Jean-Pierre Gazeau (auth.)

Publisher

Springer New York

Published

2000

Language

EN

ISBN

9780387989082

Category

nonfiction

Subjects

Science, Technology, Mathematics