Coherent States, Wavelets, and Their Generalizations

Coherent States, Wavelets, and Their Generalizations by Syed Twareque Ali, Jean-Pierre Antoine, Jean-Pierre Gazeau.

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, she...

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Bibliographic Details
Main Authors: Ali, Syed Twareque (Author), Antoine, Jean-Pierre (Author), Gazeau, Jean-Pierre (Author)
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: New York, NY : Springer New York : Imprint: Springer, 2014.
Edition:2nd ed. 2014.
Series:Theoretical and Mathematical Physics,
Springer eBook Collection.
Subjects:
Quantum physics.
Group theory.
Quantum computers.
Spintronics.
Electronic resources (E-books)
Online Access:Click to view e-book
Holy Cross Note:Loaded electronically.
Electronic access restricted to members of the Holy Cross Community.
Table of Contents:
  • Canonical Coherent States
  • Positive Operator-Valued Measures and Frames
  • Some Group Theory
  • Hilbert Spaces
  • Square Integrable and Holomorphic Kernels
  • Covariant Coherent States
  • Coherent States from Square Integrable Representations
  • Some Examples and Generalizations
  • CS of General Semidirect Product Groups
  • CS of Product Groups
  • CS Quantizations and Probabilistic Aspects
  • Direct Wavelet Transforms
  • Multidimensional Wavelets
  • Wavelets Related to Other G Groups
  • The Discretization Problem - Frames Sampling and All That.

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