Coherent States, Wavelets, and Their Generalizations

Released on by Syed Twareque Ali
preview-18

  • Coherent States, Wavelets, and Their Generalizations Book Detail

  • Author : Syed Twareque Ali
  • Release Date : 2013-10-30
  • Publisher : Springer Science & Business Media
  • Genre : Science
  • Pages : 586
  • ISBN 13 : 1461485355
  • File Size : 56,56 MB
DOWNLOAD BOOK

Coherent States, Wavelets, and Their Generalizations by Syed Twareque Ali PDF Summary

Book Description: 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 groups. The unified background makes transparent an entire range of properties of wavelets and coherent states. Many concrete examples, such as coherent states from semisimple Lie groups, Gazeau-Klauder coherent states, coherent states for the relativity groups, and several kinds of wavelets, are discussed in detail. The book concludes with a palette of potential applications, from the quantum physically oriented, like the quantum-classical transition or the construction of adequate states in quantum information, to the most innovative techniques to be used in data processing. 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 first edition of the book is already a proven compendium for physicists and mathematicians active in the field, and with full coverage of the latest theory and results the revised second edition is even more valuable.

Disclaimer: www.yourbookbest.com does not own Coherent States, Wavelets, and Their Generalizations books pdf, neither created or scanned. We just provide the link that is already available on the internet, public domain and in Google Drive. If any way it violates the law or has any issues, then kindly mail us via contact us page to request the removal of the link.

Partial Inner Product Spaces

Partial Inner Product Spaces

File Size : 25,25 MB
Total View : 4247 Views
DOWNLOAD

Partial Inner Product (PIP) Spaces are ubiquitous, e.g. Rigged Hilbert spaces, chains of Hilbert or Banach spaces (such as the Lebesgue spaces Lp over the real

Lavoisier

Lavoisier

File Size : 77,77 MB
Total View : 5593 Views
DOWNLOAD

Originally published in French in 1993 (Editions Pygmalion/Gerard Watelet, Paris), and expanded and revised for this translation. The founder of modern chemistr