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

Ali, Syed T., Antoine, J-P., Gazeau, Jean-Perre

ISBN 10: 0387989080 / ISBN 13: 9780387989082

Published by Springer, 2000

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Seller Inventory # ERICA77503879890806

Bibliographic Details

• Title: Coherent States, Wavelets and Their Generalizations (Graduate Texts in Contemporary Physics)
• Publisher: Springer
• Publication Date: 2000
• Language: English
• ISBN 10: 0387989080
• ISBN 13: 9780387989082
• Binding: Hardcover
• Condition: Like New
• Book Type: book

About this title

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.

About the Author

Jean-Pierre Antoine is the Professor of Mathematical Physics at the Institut de Physique Theorique, Universite catholique de Louvain.