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8 edition of Coherent States, Wavelets, and Their Generalizations (Graduate Texts in Contemporary Physics) found in the catalog.

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

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Published by Springer .
Written in English


The Physical Object
Number of Pages418
ID Numbers
Open LibraryOL7449862M
ISBN 100387989080
ISBN 109780387989082


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Coherent States, Wavelets, and Their Generalizations (Graduate Texts in Contemporary Physics) by Syed T. Ali Download PDF EPUB FB2

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.

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 Cited by: This book presents a survey of the theory of coherent states, wavelets, and some of their generalizations, emphasizing mathematical structures.

The point of view Coherent States that both the theories of both wavelets and coherent states can be subsumed into a single analytic structure. springer, This second edition is fully updated, covering in particular new types of coherent states (the Wavelets 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. Coherent States, Wavelets, and Their Generalizations: Syed Twareque Ali, Jean-Pierre Antoine, Jean-Pierre Gazeau: Books - Coherent states, wavelets, and their generalizations.

[S Twareque Ali] Print book: English: 2nd ed., [fully updated] Coherent States from Square Integrable Representations.- Some Examples and Generalizations.- CS Wavelets General Semidirect Product Groups.- CS of Product Groups.- CS Quantizations and Probabilistic Aspects.- Direct Wavelet.

Coherent States, Wavelets and Their Generalizations. Authors (view affiliations) Syed Twareque Ali; Jean-Pierre Antoine; and a love story can always be happily shared. In and Their Generalizations book this book, it has been our feeling that, in all of the wealth of material on coherent states and wavelets, there exists a lack of a discern­ able, unifying.

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 : Gebundenes Buch.

"The Coherent States of coherent states and/or wavelets (CS-W) is a hot topic for decades. Personally I prefer the book under review to many other ones published before.

It is clearly written, mathematically sound and well illustrated. Short but informative historical remarks in the text additionally guide through the literature. 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. The Gaussian coherent states of nonrelativistic quantum mechanics can be generalized to relativistic coherent states of Klein-Gordon and Dirac particles. [34] [35] [36] Coherent states have also appeared in works on loop quantum gravity or for the construction of (semi)classical canonical quantum general relativity.

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

Des milliers de livres avec la livraison chez vous en 1 jour ou en magasin avec -5% de réduction. 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 the Coherent States of wavelets and coherent states can both be subsumed into a single mathematical structure. Starting from the standard theory of coherent states over Lie groups, the. In physics, specifically in quantum mechanics, a coherent state is the specific quantum state of the quantum harmonic oscillator, often described as a state which has dynamics most closely resembling the oscillatory behavior of a classical harmonic was the first example of quantum dynamics when Erwin Schrödinger derived it inwhile searching for solutions of.

COHERENT STATES AND THEIR GENERALIZATIONS: A MATHEMATICAL OVERVIEW S. Twareque Ali 1, J.-P. Antoine 2, J.-P. Gazeau 3 and U.A. Mueller 4 1 Department of Mathematics and Statistics, Concordia. As a survey of the theory of coherent states, wavelets, and some of their generalizations, it emphasizes mathematical principles, subsuming the theories of.

Keywords: Wavelets in Physics can improve the reader's memory. As you read the book, you have a variety of meanings, their origins, ambitions, history and nuances, as well as various circles and sub-transfers each story.

Just a little to remember, but the brain is a beautiful thing and relatively easy to remember these things. Additional Sources for Math Book Reviews; About MAA Reviews; Mathematical Communication; Information for Libraries; Author Resources; Advertise with MAA; Meetings.

MAA MathFest. Register Now; Registration Rates and Other Fees; Exhibitors and Sponsors; Abstracts; Mathematical Sessions. Invited Addresses; Contributed Paper Sessions; Panel. 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. Coherent States, Wavelets, and Their Generalizations XIII, pp.

14 figs. A survey of the theory of coherent states, wavelets, and some of their generalizations, emphasizing mathematical structures. Starting from the standard theory of. where stands for the unitary Fourier transform on (ordinary-frequency convention) given that affine coherent states (wavelets) were introduced in [] to describe the movement of a particle on the real line, see also [] as a standard reference book for their further development and nt states in quantum physics are described in [].Cited by: 4.

Coherent States, Wavelets, and Their Generalizations This second edition is fully updated, cover-ing 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.

Antoine, Jean-Pierre [UCL]. In a first part, we review the general theory of coherent states (CS). Starting from the canonical CS introduced by Schrödinger in and rediscovered by Glauber, Klauder, Sudarshan in the s, we proceed to the derivation of general CS from square integrable group representations and some of their generalizations: Perelomov CS, general Author: Jean-Pierre Antoine.

The purpose of this book is to explain the notion of coherent states and of their various generalizations, since Schrödinger up to the most recent conceptual ad- vances and applications in different domains of physics, with some incursions intoFile Size: KB.

[Per86] A.M. Perelomov, Generalized Coherent States and Their Applications (Springer, Berlin, ) [Per05] G. Peyré, Géométrie multi-échelles pour les images et les textures.

Thèse de doctorat, Ecole Polytechnique, Palaiseau, [Pru86] E. Prugove˘cki, Stochastic Quantum Mechanics and Quantum Spacetime (Reidel, Dordrecht, )File Size: KB.

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.).

Coherent States, Wavelets, and Their Generalizations, () Triangular subgroups of Sp (d, R) and reproducing formulae. Journal of Functional AnalysisCited by: Some reviews of books on wavelets, by Laurent Demanet.

NEW. () A Wavelet Tour of Signal Processing, Third Edition: The Sparse Way, by S. Mallat is the improved, revised version of his classic should be noted that much of the work on this third edition was done by.

Coherent states and global entanglement in an N qubit system. while atomic coherent states are multipartite by their definition, which is a necessary condition of entanglement. On the other hand, S.T. Ali, J.P. Antoine, J.P. GazeauCoherent States, Wavelets and Their Generalizations.

Springer, Berlin () Google by: 8. Wavelets and Dilation Equations: A Brief Introduction. SIAM Review. [Cited by ] (/year) SWELDENS, W., The lifting scheme: A custom-design construction of biorthogonal wavelets. Appl. Comput. Harmon. Anal. [Cited by ] (/year) SWELDENS, W., pan>. The lifting scheme: A construction of second generation wavelets - all This book has been cited by the following publications.

() Generalized Coherent States and Their Applications (Berlin, Springer-Verlag). Phipps, T. and Taylor, J. () The magnetic () Coherent States, Wavelets and Their Generalizations, Graduate Texts in Contemporary Physics (New York, Springer-Verlag). Ter Haar, D Author: Giampiero Esposito, Giuseppe Marmo, Gennaro Miele, George Sudarshan.

Two types of coherent states are considered: Weyl–Heisenberg coherent states, which arise from translations and modulations of a single function, and affine coherent states, called ’wavelets,’ which arise as translations and dilations of a single by: "Coherent States, Wavelets and Their Generalizations", Syed Twareque Ali Jean-Pierre Antoine Jean-Pierre Gazeau.

Conformal Field Theory, Philippe Di Francesco Pierre Mathieu David Senechal. Electronic States and Optical Transitions in Semiconductor Heterostructures, Fedor T. Vasko Alex V. Kuznetsov. Coherent States, Wavelets, and Their Generalizations Ali, S.

T., Antoine, J., Gazeau, J. () 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.

Wavelets In Physics By Van Den Berg, J.c. English Hardcover Book Free Shipping Wavelets And. Wavelets And Their Applications, Byrnes, J.s. Free Shipping. [Read book] Stress and Coping in Time of War: Generalizations from the Israeli Experience (Brunner.

coherent states are called wavelets in the signal analysis literature and form the basis of much of modern digital data analysis. Let us note that in the signal analysis literature, the canonical coherent states are known as gaborettes or Gabor wavelets.

Although this talk is meant to illustrate the theory of coherent states and wavelets by. Wavelets on the n-sphere and related manifolds Journal of Mathematical Physics 39 Ali, J-P. Antoine, J-P. Gazeau, and U. Mueller, “ Coherent states and their generalizations: detection of position, orientation and visual contrast of simple objects,” in Wavelets and their Applications (Proc.

Marseille ), edited by Y Cited by: The flrst mention of wavelets appeared in an appendix to the thesis of A. Haar (). One property of the Haar wavelet is that it has compact support, which means that it vanishes outside of a flnite interval.

Unfortunately, Haar wavelets are not continuously difierentiable which somewhat limits their applications. The Functional and Harmonic Analysis of Wavelets and Frames, volume of Contemp.

Math. Amer. Math. Soc., September S. Basu and B.C. Levy, editors. Multidimensional Filter Banks and Wavelets Research Developments and Applications. Springer, G. Battle. Wavelets and renormalization, volume 10 of World Scientific Series in. Coherent States, Wavelets and Their Generalizations.

Springer New York. Syed Twareque Ali, Jean-Pierre Antoine, Coherent States, Wavelets, and Their Generalizations. Springer. Syed T. Ali, A search query can be a title of the book, a name of the author, ISBN or anything else.Wavelets and Multiscale Signal Processing: Albert Cohen, Robert D.

Ryan: A First Course in Wavelets with Fourier Analysis: A Boggess & FJ Narcowich: A mathematical introduction to wavelets: zczyk: A Mathematical Introduction to Wavelets (London Mathematical Society Student Texts 37) P. Wojtaszczyk: A Primer on Wavelets and Their.