Quantization Coherent States And Complex Structures

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Quantization, Coherent States, and Complex Structures

Author : J-P Antoine
Publisher : Springer Science & Business Media
ISBN 13 : 1489910603
Total Pages : 289 pages
Book Rating : 4.4/5 (899 download)

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Book Synopsis Quantization, Coherent States, and Complex Structures by : J-P Antoine

Download or read book Quantization, Coherent States, and Complex Structures written by J-P Antoine and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 289 pages. Available in PDF, EPUB and Kindle. Book excerpt: The XIIIth Bialowieza Summer Workshop was held from July 9 to 15, 1994. While still within the general framework of Differential Geometric Methods in Physics, the XnIth Workshop was expanded in scope to include quantum groups, q-deformations and non-commutative geometry. It is expected that lectures on these topics will now become an integral part of future workshops. In the more traditional areas, lectures were devoted to topics in quantization, field theory, group representations, coherent states, complex and Poisson structures, the Berry phase, graded contractions and some infinite-dimensional systems. Those of us who have taken part in the evolution of the workshops over the years, feel a good measure of satisfaction with the excellent quality of the papers presented, in particular the mathematical rigour and novelty. Each year a significant number of new results are presented and future directions of research are discussed. Their freshness and immediacy inevitably leads to intense discussions and an exchange of ideas in an informal and physically charming environment. The present workshop also had a higher attendance than its predecessors, with ap proximately 65 registered participants. As usual, there was a large number of graduate students and young researchers among them.

Quantization And Coherent States Methods - Proceedings Of Xi Workshop On Geometric Methods In Physics

Author : S Twareque Ali
Publisher : World Scientific
ISBN 13 : 9814522031
Total Pages : 256 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Quantization And Coherent States Methods - Proceedings Of Xi Workshop On Geometric Methods In Physics by : S Twareque Ali

Download or read book Quantization And Coherent States Methods - Proceedings Of Xi Workshop On Geometric Methods In Physics written by S Twareque Ali and published by World Scientific. This book was released on 1993-10-29 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of the conference was to find common elements between quantization and coherent states, and quantization on Poisson manifolds. Topics included are coherent states, geometric quantization, phase space quantization, deformation and *-products and Berry's phase.

Coherent States, Wavelets, and Their Generalizations

Author : Syed Twareque Ali
Publisher : Springer Science & Business Media
ISBN 13 : 1461485355
Total Pages : 586 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 586 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.

Geometric Methods in Physics

Author : Piotr Kielanowski
Publisher : Springer
ISBN 13 : 3319062484
Total Pages : 290 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Geometric Methods in Physics by : Piotr Kielanowski

Download or read book Geometric Methods in Physics written by Piotr Kielanowski and published by Springer. This book was released on 2014-08-19 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Białowieża Workshops on Geometric Methods in Physics, which are hosted in the unique setting of the Białowieża natural forest in Poland, are among the most important meetings in the field. Every year some 80 to 100 participants from both the mathematics and physics world join to discuss new developments and to exchange ideas. The current volume was produced on the occasion of the 32nd meeting in 2013. It is now becoming a tradition that the Workshop is followed by a School on Geometry and Physics, which consists of advanced lectures for graduate students and young researchers. Selected speakers at the 2013 Workshop were asked to contribute to this book, and their work was supplemented by additional review articles. The selection shows that, despite its now long tradition, the workshop remains at the cutting edge of research. The 2013 Workshop also celebrated the 75th birthday of Daniel Sternheimer, and on this occasion the discussion mainly focused on his contributions to mathematical physics such as deformation quantization, Poisson geometry, symplectic geometry and non-commutative differential geometry.

Coherent States and Their Applications

Author : Jean-Pierre Antoine
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.

From Geometry to Quantum Mechanics

Author : Yoshiaki Maeda
Publisher : Springer Science & Business Media
ISBN 13 : 0817645306
Total Pages : 324 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis From Geometry to Quantum Mechanics by : Yoshiaki Maeda

Download or read book From Geometry to Quantum Mechanics written by Yoshiaki Maeda and published by Springer Science & Business Media. This book was released on 2007-04-22 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: * Invited articles in differential geometry and mathematical physics in honor of Hideki Omori * Focus on recent trends and future directions in symplectic and Poisson geometry, global analysis, Lie group theory, quantizations and noncommutative geometry, as well as applications of PDEs and variational methods to geometry * Will appeal to graduate students in mathematics and quantum mechanics; also a reference

Coherent States and Applications in Mathematical Physics

Author : Monique Combescure
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, ...).

Quantization and Infinite-Dimensional Systems

Author : S.T. Ali
Publisher : Springer Science & Business Media
ISBN 13 : 1461525640
Total Pages : 273 pages
Book Rating : 4.4/5 (615 download)

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Book Synopsis Quantization and Infinite-Dimensional Systems by : S.T. Ali

Download or read book Quantization and Infinite-Dimensional Systems written by S.T. Ali and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: As all participants know by now, the Bialowieza Summer Workshop has acquired a life of its own. The charming venue of the meetings, the informal atmosphere, the enthusiasm of the participants and the intensity of the scientific interaction have all conspired to make these meetings wonderful learning experiences. The XIIth Workshop (held from July 1 - 7, 1993) was once again a topical meeting within the general area of Differential Geometric Methods in Physics, focusing specifically on Quantization and Infinite-dimensional Systems. Altogether, about fifty participants attended the workshop. As before, the aim of the workshop was to have a small number of in-depth lectures on the main theme and a somewhat larger number of short presentations on related areas, while leaving enough free time for private discussions and exchange of ideas. Topics treated in the workshop included field theory, geometric quantization and symplectic geometry, coherent states methods, holomorphic representation theory, Poisson structures, non-commutative geometry, supersymmetry and quantum groups. The editors have the pleasant task of first thanking all the local organizers, in particular Dr. K. Gilewicz, for their painstaking efforts in ensuring the smooth running of the meeting and for organizing a delightful array of social events. Secondly, they would like to record their indebtedness to all the people who have contributed to this volume and to the redoubtable Ms. Cindy Parkinson without whose patient typesetting and editing skills the volume could hardly have seen the light of the day.

The Geometry of Riemann Surfaces and Abelian Varieties

Author : José María Muñoz Porras
Publisher : American Mathematical Soc.
ISBN 13 : 0821838555
Total Pages : 250 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis The Geometry of Riemann Surfaces and Abelian Varieties by : José María Muñoz Porras

Download or read book The Geometry of Riemann Surfaces and Abelian Varieties written by José María Muñoz Porras and published by American Mathematical Soc.. This book was released on 2006 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: Most of the papers in this book deal with the theory of Riemann surfaces (moduli problems, automorphisms, etc.), abelian varieties, theta functions, and modular forms. Some of the papers contain surveys on the recent results in the topics of current interest to mathematicians, whereas others contain new research results.

Coherent Quantum Physics

Author : Arnold Neumaier
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 311066738X
Total Pages : 301 pages
Book Rating : 4.1/5 (16 download)

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Book Synopsis Coherent Quantum Physics by : Arnold Neumaier

Download or read book Coherent Quantum Physics written by Arnold Neumaier and published by Walter de Gruyter GmbH & Co KG. This book was released on 2019-10-21 with total page 301 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces mathematicians, physicists, and philosophers to a new, coherent approach to theory and interpretation of quantum physics, in which classical and quantum thinking live peacefully side by side and jointly fertilize the intuition. The formal, mathematical core of quantum physics is cleanly separated from the interpretation issues. The book demonstrates that the universe can be rationally and objectively understood from the smallest to the largest levels of modeling. The thermal interpretation featured in this book succeeds without any change in the theory. It involves one radical step, the reinterpretation of an assumption that was virtually never questioned before - the traditional eigenvalue link between theory and observation is replaced by a q-expectation link: Objective properties are given by q-expectations of products of quantum fields and what is computable from these. Averaging over macroscopic spacetime regions produces macroscopic quantities with negligible uncertainty, and leads to classical physics. - Reflects the actual practice of quantum physics. - Models the quantum-classical interface through coherent spaces. - Interprets both quantum mechanics and quantum field theory. - Eliminates probability and measurement from the foundations. - Proposes a novel solution of the measurement problem.

Coherent States

Author : Chon-Fai Kam
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.

Coherent Transform, Quantization and Poisson Geometry

Author : Mikhail Vladimirovich Karasev
Publisher : American Mathematical Soc.
ISBN 13 : 9780821811788
Total Pages : 376 pages
Book Rating : 4.8/5 (117 download)

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Book Synopsis Coherent Transform, Quantization and Poisson Geometry by : Mikhail Vladimirovich Karasev

Download or read book Coherent Transform, Quantization and Poisson Geometry written by Mikhail Vladimirovich Karasev and published by American Mathematical Soc.. This book was released on 1998 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume copntains three extensive articles written by Karasev and his pupils. Topics covered include the following: coherent states and irreducible representations for algebras with non-Lie permutation relations, Hamilton dynamics and quantization over stable isotropic submanifolds, and infinitesimal tensor complexes over degenerate symplectic leaves in Poisson manifolds. The articles contain many examples (including from physics) and complete proofs.

Mechanics: From Theory to Computation

Author : Juan Carlos Simo
Publisher : Springer Science & Business Media
ISBN 13 : 9780387986630
Total Pages : 546 pages
Book Rating : 4.9/5 (866 download)

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Book Synopsis Mechanics: From Theory to Computation by : Juan Carlos Simo

Download or read book Mechanics: From Theory to Computation written by Juan Carlos Simo and published by Springer Science & Business Media. This book was released on 2000 with total page 546 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection of papers in honour of Juan-Carlos Simo cover subjects including: dynamical problems for geometrically exact theories of nonlinearly viscoelastic rods; gravity waves on the surface of the sphere; and problems and progress in microswimming.

Mechanics: From Theory to Computation

Author : Journal of Nonlinear Science
Publisher : Springer Science & Business Media
ISBN 13 : 1461212464
Total Pages : 533 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Mechanics: From Theory to Computation by : Journal of Nonlinear Science

Download or read book Mechanics: From Theory to Computation written by Journal of Nonlinear Science and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 533 pages. Available in PDF, EPUB and Kindle. Book excerpt: Starting in 1996, a sequence of articles appeared in the Journal of Nonlinear Science dedicated to the memory of one of its original editors, Juan-Carlos Simo, Applied Me chanics, Stanford University. Sadly, Juan-Carlos passed away at an early age in 1994. We lost a brilliant colleague and a wonderful person. These articles are collected in the present volume. Many of them are updated and corrected especially for this occasion. These essays are in areas of scientific interest of Juan-Carlos, including mechanics (particles, rigid bodies, fluids, elasticity, plastic ity, etc.), geometry, applied dynamics, and, of course, computation. His interests were extremely broad-he did not see boundaries between computation, mathematics, me chanics, and dynamics, and, in that sense, he ideally reflected the spirit of the journal and many of the most exciting areas of current scientific interest. Juan-Carlos was one of those select and gifted people who could cross interdisci plinary boundaries with extremely high quality and productive interactions of lasting value. His contributions, ranging from concrete engineering problems to fundamental mathematical theorems in geometric mechanics, are remarkable. In current conferences as well as in scientific books and articles, and over a wide range of subjects, one frequently hears how his ideas as well as specific results are often used and quoted-this is one indication of just how profound and fundamental his work has impacted the community.

Contributions in Mathematical Physics

Author : S. Twareque Ali
Publisher : Springer
ISBN 13 : 9386279339
Total Pages : 234 pages
Book Rating : 4.3/5 (862 download)

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Book Synopsis Contributions in Mathematical Physics by : S. Twareque Ali

Download or read book Contributions in Mathematical Physics written by S. Twareque Ali and published by Springer. This book was released on 2007-08-15 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt: Professor Gerard G. Emch has been one of the pioneers of the C-algebraic approach to quantum and classical statistical mechanics. In a prolific scientific career, spanning nearly five decades, Professor Emch has been one of the creative influences in the general area of mathematical physics. The present volume is a collection of tributes, from former students, colleagues and friends of Professor Emch, on the occasion of his 70th birthday. The articles featured here are a small yet representative sample of the breadth and reach of some of the ideas from mathematical physics.It is also a testimony to the impact that Professor Emch's work has had on several generations of mathematical physicists as well as to the diversity of mathematical methods used to understand them.

The Problem of Time

Author : Edward Anderson
Publisher : Springer
ISBN 13 : 3319588486
Total Pages : 920 pages
Book Rating : 4.3/5 (195 download)

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Book Synopsis The Problem of Time by : Edward Anderson

Download or read book The Problem of Time written by Edward Anderson and published by Springer. This book was released on 2017-09-18 with total page 920 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a treatise on time and on background independence in physics. It first considers how time is conceived of in each accepted paradigm of physics: Newtonian, special relativity, quantum mechanics (QM) and general relativity (GR). Substantial differences are moreover uncovered between what is meant by time in QM and in GR. These differences jointly source the Problem of Time: Nine interlinked facets which arise upon attempting concurrent treatment of the QM and GR paradigms, as is required in particular for a background independent theory of quantum gravity. A sizeable proportion of current quantum gravity programs - e.g. geometrodynamical and loop quantum gravity approaches to quantum GR, quantum cosmology, supergravity and M-theory - are background independent in this sense. This book's foundational topic is thus furthermore of practical relevance in the ongoing development of quantum gravity programs. This book shows moreover that eight of the nine facets of the Problem of Time already occur upon entertaining background independence in classical (rather than quantum) physics. By this development, and interpreting shape theory as modelling background independence, this book further establishes background independence as a field of study. Background independent mechanics, as well as minisuperspace (spatially homogeneous) models of GR and perturbations thereabout are used to illustrate these points. As hitherto formulated, the different facets of the Problem of Time greatly interfere with each others' attempted resolutions. This book explains how, none the less, a local resolution of the Problem of Time can be arrived at after various reconceptualizations of the facets and reformulations of their mathematical implementation. Self-contained appendices on mathematical methods for basic and foundational quantum gravity are included. Finally, this book outlines how supergravity is refreshingly different from GR as a realization of background independence, and what background independence entails at the topological level and beyond.

Selected Papers from the 16th International Conference on Squeezed States and Uncertainty Relations (ICSSUR 2019)

Author : Margarita A. Man’ko
Publisher : MDPI
ISBN 13 : 3039434241
Total Pages : 200 pages
Book Rating : 4.0/5 (394 download)

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Book Synopsis Selected Papers from the 16th International Conference on Squeezed States and Uncertainty Relations (ICSSUR 2019) by : Margarita A. Man’ko

Download or read book Selected Papers from the 16th International Conference on Squeezed States and Uncertainty Relations (ICSSUR 2019) written by Margarita A. Man’ko and published by MDPI. This book was released on 2020-11-09 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first quantum revolution started in the early 20th century and gave us new rules that govern physical reality. Accordingly, many devices that changed dramatically our lifestyle, such as transistors, medical scanners and lasers, appeared in the market. This was the origin of quantum technology, which allows us to organize and control the components of a complex system governed by the laws of quantum physics. This is in sharp contrast to conventional technology, which can only be understood within the framework of classical mechanics. We are now in the middle of a second quantum revolution. Although quantum mechanics is nowadays a mature discipline, quantum engineering as a technology is now emerging in its own right. We are about to manipulate and sense individual particles, measuring and exploiting their quantum properties. This is bringing major technical advances in many different areas, including computing, sensors, simulations, cryptography and telecommunications. The present collection of selected papers is a clear demonstration of the tremendous vitality of the field. The issue is composed of contributions from world leading researchers in quantum optics and quantum information, and presents viewpoints, both theoretical and experimental, on a variety of modern problems.