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Coherent States Wavelets and Their Generalizations Theoretical and Mathematical 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 Theoretical and Mathematical Physics about?

This second edition is fully updated, covering in particular new types of coherent states (the so-called Gazeau-Klauder coherent states, nonlinear coherent states, squeezed states, as used now routinely in quantum optics) and various generalizations of wavelets (wavelets on manifolds, curvelets, shearlets, etc.). In addition, it contains a new chapter on coherent state quantization and the related probabilistic aspects. As a survey of the theory of coherent states, wavelets, and some of their generalizations, it emphasizes mathematical principles, subsuming the theories of both wavelets and coherent states into a single analytic structure. The approach allows the user to take a classical-like view of quantum states in physics.   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 gr

Who reads Coherent States Wavelets and Their Generalizations Theoretical and Mathematical Physics?

Author

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

Publisher

Springer-Verlag New York Inc.

Published

2014

Language

EN

ISBN

9781461485346

Category

nonfiction

Subjects

Science, Technology, Mathematics