Generalized Coherent States and Their Applications

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Publisher : Springer Science & Business Media
ISBN 13 : 3642616291
Total Pages : 323 pages
Book Rating : 4.6/5 (426 download)

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Book Synopsis Generalized Coherent States and Their Applications by : Askold Perelomov

Download or read book Generalized Coherent States and Their Applications written by Askold Perelomov and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 323 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph treats an extensively developed field in modern mathematical physics - the theory of generalized coherent states and their applications to various physical problems. Coherent states, introduced originally by Schrodinger and von Neumann, were later employed by Glauber for a quantal description of laser light beams. The concept was generalized by the author for an arbitrary Lie group. In the last decade the formalism has been widely applied to various domains of theoretical physics and mathematics. The area of applications of generalized coherent states is very wide, and a comprehensive exposition of the results in the field would be helpful. This monograph is the first attempt toward this aim. My purpose was to compile and expound systematically the vast amount of material dealing with the coherent states and available through numerous journal articles. The book is based on a number of undergraduate and postgraduate courses I delivered at the Moscow Physico-Technical Institute. In its present form it is intended for professional mathematicians and theoretical physicists; it may also be useful for university students of mathematics and physics. In Part I the formalism is elaborated and explained for some of the simplest typical groups. Part II contains more sophisticated material; arbitrary Lie groups and symmetrical spaces are considered. A number of examples from various areas of theoretical and mathematical physics illustrate advantages of this approach, in Part III. It is a pleasure for me to thank Dr. Yu. Danilov for many useful remarks.

Generalized Coherent States and Their Applications

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Publisher : Springer
ISBN 13 : 9783642648915
Total Pages : 320 pages
Book Rating : 4.6/5 (489 download)

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Book Synopsis Generalized Coherent States and Their Applications by : Askold Perelomov

Download or read book Generalized Coherent States and Their Applications written by Askold Perelomov and published by Springer. This book was released on 2012-08-11 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph treats an extensively developed field in modern mathematical physics - the theory of generalized coherent states and their applications to various physical problems. Coherent states, introduced originally by Schrodinger and von Neumann, were later employed by Glauber for a quantal description of laser light beams. The concept was generalized by the author for an arbitrary Lie group. In the last decade the formalism has been widely applied to various domains of theoretical physics and mathematics. The area of applications of generalized coherent states is very wide, and a comprehensive exposition of the results in the field would be helpful. This monograph is the first attempt toward this aim. My purpose was to compile and expound systematically the vast amount of material dealing with the coherent states and available through numerous journal articles. The book is based on a number of undergraduate and postgraduate courses I delivered at the Moscow Physico-Technical Institute. In its present form it is intended for professional mathematicians and theoretical physicists; it may also be useful for university students of mathematics and physics. In Part I the formalism is elaborated and explained for some of the simplest typical groups. Part II contains more sophisticated material; arbitrary Lie groups and symmetrical spaces are considered. A number of examples from various areas of theoretical and mathematical physics illustrate advantages of this approach, in Part III. It is a pleasure for me to thank Dr. Yu. Danilov for many useful remarks.

Coherent States and Applications in Mathematical Physics

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Author :
Publisher : Springer Nature
ISBN 13 : 3030708454
Total Pages : 577 pages
Book Rating : 4.0/5 (37 download)

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Book Synopsis Coherent States and Applications in Mathematical Physics by : Didier Robert

Download or read book Coherent States and Applications in Mathematical Physics written by Didier Robert and published by Springer Nature. This book was released on 2021-05-25 with total page 577 pages. Available in PDF, EPUB and Kindle. Book excerpt: This second edition of the outstanding monograph on coherent states by Combescure and Robert published in 2012 is enriched with figures, historical information and numerical simulations and enlarged with five new chapters presenting important rigorous results obtained in the recent years. The new chapters include various applications such as to the time dependent Schroedinger equation and the Ehrenfest time, to the growth of norms and energy exchanges, to chaotic systems and classical systems with quantum ergodic behavior, and to open quantum systems, and to adiabatic decoupling for multicomponent systems Overall, this book presents the various types of coherent states introduced and studied in the physics and mathematics literature and describes their properties together with application to quantum physics problems. It is intended to serve as a compendium on coherent states and their applications for physicists and mathematicians, stretching from the basic mathematical structures of generalized coherent states in the sense of Perelomov via the semiclassical evolution of coherent states to various specific examples of coherent states (hydrogen atom, quantum oscillator, etc.). It goes beyond existing books on coherent states in terms of a rigorous mathematical framework

Coherent States

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Publisher : World Scientific
ISBN 13 : 9789971966522
Total Pages : 934 pages
Book Rating : 4.9/5 (665 download)

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Book Synopsis Coherent States by : John R. Klauder

Download or read book Coherent States written by John R. Klauder and published by World Scientific. This book was released on 1985 with total page 934 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is a review on coherent states and some of their applications. The usefulness of the concept of coherent states is illustrated by considering specific examples from the fields of physics and mathematical physics. Particular emphasis is given to a general historical introduction, general continuous representations, generalized coherent states, classical and quantum correspondence, path integrals and canonical formalism. Applications are considered in quantum mechanics, optics, quantum chemistry, atomic physics, statistical physics, nuclear physics, particle physics and cosmology. A selection of original papers is reprinted.

Coherent States and Applications in Mathematical Physics

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Publisher : Springer Science & Business Media
ISBN 13 : 9400701950
Total Pages : 419 pages
Book Rating : 4.4/5 (7 download)

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Book Synopsis Coherent States and Applications in Mathematical Physics by : Monique Combescure

Download or read book Coherent States and Applications in Mathematical Physics written by Monique Combescure and published by Springer Science & Business Media. This book was released on 2012-02 with total page 419 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the various types of coherent states introduced and studied in the physics and mathematics literature and describes their properties together with application to quantum physics problems. It is intended to serve as a compendium on coherent states and their applications for physicists and mathematicians, stretching from the basic mathematical structures of generalized coherent states in the sense of Perelomov via the semiclassical evolution of coherent states to various specific examples of coherent states (hydrogen atom, quantum oscillator, ...).

Generalized Coherent States and Their Applications

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Publisher : Springer Verlag
ISBN 13 : 9780387159126
Total Pages : 320 pages
Book Rating : 4.1/5 (591 download)

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Book Synopsis Generalized Coherent States and Their Applications by : Askolʹd Mikhaĭlovich Perelomov

Download or read book Generalized Coherent States and Their Applications written by Askolʹd Mikhaĭlovich Perelomov and published by Springer Verlag. This book was released on 1986 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Coherent States

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Author :
Publisher : Springer Nature
ISBN 13 : 3031207661
Total Pages : 353 pages
Book Rating : 4.0/5 (312 download)

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Book Synopsis Coherent States by : Chon-Fai Kam

Download or read book Coherent States written by Chon-Fai Kam and published by Springer Nature. This book was released on 2023-05-19 with total page 353 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the essential ideas of coherent states and provides researchers and graduate students with the necessary tools for various applications of generalized coherent state theory. These applications include areas such as quantum information, quantum phase transitions, quantum many-body systems, quantum chaos, and quantum open systems. The aim of the book is to show how coherent states can be applied to an extensive range of physical systems. The authors provide many exercises at the end of each chapter to enhance the mastery of the subject. Throughout the first seven chapters, only an understanding of elementary quantum mechanics is assumed, and for the last six chapters, some basic knowledge of group theory is requested to follow the arguments.

Hilbert Spaces, Wavelets, Generalised Functions and Modern Quantum Mechanics

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Publisher : Springer Science & Business Media
ISBN 13 : 9401153329
Total Pages : 247 pages
Book Rating : 4.4/5 (11 download)

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Book Synopsis Hilbert Spaces, Wavelets, Generalised Functions and Modern Quantum Mechanics by : W.-H. Steeb

Download or read book Hilbert Spaces, Wavelets, Generalised Functions and Modern Quantum Mechanics written by W.-H. Steeb and published by Springer Science & Business Media. This book was released on 2013-03-07 with total page 247 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives a comprehensive introduction to modern quantum mechanics, emphasising the underlying Hilbert space theory and generalised function theory. All the major modern techniques and approaches used in quantum mechanics are introduced, such as Berry phase, coherent and squeezed states, quantum computing, solitons and quantum mechanics. Audience: The book is suitable for graduate students in physics and mathematics.

Coherent States, Wavelets, and Their Generalizations

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Publisher : Springer Science & Business Media
ISBN 13 : 1461485355
Total Pages : 577 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis Coherent States, Wavelets, and Their Generalizations by : Syed Twareque Ali

Download or read book Coherent States, Wavelets, and Their Generalizations written by Syed Twareque Ali and published by Springer Science & Business Media. This book was released on 2013-10-30 with total page 577 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Coherent States and Their Applications

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Publisher : Springer
ISBN 13 : 3319767321
Total Pages : 347 pages
Book Rating : 4.3/5 (197 download)

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Book Synopsis Coherent States and Their Applications by : Jean-Pierre Antoine

Download or read book Coherent States and Their Applications written by Jean-Pierre Antoine and published by Springer. This book was released on 2018-06-01 with total page 347 pages. Available in PDF, EPUB and Kindle. Book excerpt: Coherent states (CS) were originally introduced in 1926 by Schrödinger and rediscovered in the early 1960s in the context of laser physics. Since then, they have evolved into an extremely rich domain that pervades virtually every corner of physics, and have also given rise to a range of research topics in mathematics. The purpose of the 2016 CIRM conference was to bring together leading experts in the field with scientists interested in related topics, to jointly investigate their applications in physics, their various mathematical properties, and their generalizations in many directions. Instead of traditional proceedings, this book presents sixteen longer review-type contributions, which are the outcome of a collaborative effort by many conference participants, subsequently reviewed by independent experts. The book aptly illustrates the diversity of CS aspects, from purely mathematical topics to physical applications, including quantum gravity.

Geometry of Quantum States

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Publisher : Cambridge University Press
ISBN 13 : 1108293492
Total Pages : 637 pages
Book Rating : 4.1/5 (82 download)

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Book Synopsis Geometry of Quantum States by : Ingemar Bengtsson

Download or read book Geometry of Quantum States written by Ingemar Bengtsson and published by Cambridge University Press. This book was released on 2017-08-18 with total page 637 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum information theory is a branch of science at the frontier of physics, mathematics, and information science, and offers a variety of solutions that are impossible using classical theory. This book provides a detailed introduction to the key concepts used in processing quantum information and reveals that quantum mechanics is a generalisation of classical probability theory. The second edition contains new sections and entirely new chapters: the hot topic of multipartite entanglement; in-depth discussion of the discrete structures in finite dimensional Hilbert space, including unitary operator bases, mutually unbiased bases, symmetric informationally complete generalized measurements, discrete Wigner function, and unitary designs; the Gleason and Kochen–Specker theorems; the proof of the Lieb conjecture; the measure concentration phenomenon; and the Hastings' non-additivity theorem. This richly-illustrated book will be useful to a broad audience of graduates and researchers interested in quantum information theory. Exercises follow each chapter, with hints and answers supplied.

Path Integrals And Coherent States Of Su(2) And Su(1, 1)

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Publisher : World Scientific
ISBN 13 : 9814513970
Total Pages : 330 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Path Integrals And Coherent States Of Su(2) And Su(1, 1) by : A Inomata

Download or read book Path Integrals And Coherent States Of Su(2) And Su(1, 1) written by A Inomata and published by World Scientific. This book was released on 1992-09-25 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: The authors examine several topical subjects, commencing with a general introduction to path integrals in quantum mechanics and the group theoretical backgrounds for path integrals. Applications of harmonic analysis, polar coordinate formulation, various techniques and path integrals on SU(2) and SU(1, 1) are discussed. Soluble examples presented include particle-flux system, a pulsed oscillator, magnetic monopole, the Coulomb problem in curved space and others.The second part deals with the SU(2) coherent states and their applications. Construction and generalization of the SU(2) coherent states, formulation of coherent path integrals for spin and unitary spin, and semiclassical quantization are presented. Applications are made to the study of quantum fluctuation, the nonlinear field model and phase holonomy.The final chapters present the theory of the SU(1, 1) coherent states and their applications. The radial coulomb problem, the Morse oscillator, and the large-N approximation are discussed. Applications to problems in quantum optics such as squeezed states, interaction with the squeezed vacuum states, and phase operator formalism are also included.This book will be useful as an introduction to the subject as well as a valuable work of reference.

Nonequilibrium Quantum Transport Physics in Nanosystems

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Publisher :
ISBN 13 : 9814472972
Total Pages : pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Nonequilibrium Quantum Transport Physics in Nanosystems by :

Download or read book Nonequilibrium Quantum Transport Physics in Nanosystems written by and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Principles of Quantum Mechanics

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Publisher : Springer Science & Business Media
ISBN 13 : 147570576X
Total Pages : 676 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Principles of Quantum Mechanics by : R. Shankar

Download or read book Principles of Quantum Mechanics written by R. Shankar and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 676 pages. Available in PDF, EPUB and Kindle. Book excerpt: R. Shankar has introduced major additions and updated key presentations in this second edition of Principles of Quantum Mechanics. New features of this innovative text include an entirely rewritten mathematical introduction, a discussion of Time-reversal invariance, and extensive coverage of a variety of path integrals and their applications. Additional highlights include: - Clear, accessible treatment of underlying mathematics - A review of Newtonian, Lagrangian, and Hamiltonian mechanics - Student understanding of quantum theory is enhanced by separate treatment of mathematical theorems and physical postulates - Unsurpassed coverage of path integrals and their relevance in contemporary physics The requisite text for advanced undergraduate- and graduate-level students, Principles of Quantum Mechanics, Second Edition is fully referenced and is supported by many exercises and solutions. The book’s self-contained chapters also make it suitable for independent study as well as for courses in applied disciplines.

Semi-Classical Analysis for Nonlinear Schr??dinger Equations

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Publisher :
ISBN 13 : 9814471747
Total Pages : pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Semi-Classical Analysis for Nonlinear Schr??dinger Equations by :

Download or read book Semi-Classical Analysis for Nonlinear Schr??dinger Equations written by and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Theory of Group Representations and Applications

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Publisher : World Scientific
ISBN 13 : 9789971502171
Total Pages : 750 pages
Book Rating : 4.5/5 (21 download)

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Book Synopsis Theory of Group Representations and Applications by : Asim Orhan Barut

Download or read book Theory of Group Representations and Applications written by Asim Orhan Barut and published by World Scientific. This book was released on 1986 with total page 750 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lie!algebras - Topological!groups - Lie!groups - Representations - Special!functions - Induced!representations.

Introductory Quantum Optics

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Publisher : Cambridge University Press
ISBN 13 : 9780521527354
Total Pages : 338 pages
Book Rating : 4.5/5 (273 download)

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Book Synopsis Introductory Quantum Optics by : Christopher Gerry

Download or read book Introductory Quantum Optics written by Christopher Gerry and published by Cambridge University Press. This book was released on 2005 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: Publisher Description