Quantum Symmetries Proceedings Of The International Workshop On Mathematical Physics

Author : Doebner Heinz-dietrich,Dobrev Vladimir K
Publisher : World Scientific
Page : 392 pages
File Size : 53,5 Mb
Release : 1993-10-29
Category : Electronic
ISBN : 9789814552790

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Quantum Symmetries - Proceedings Of The International Workshop On Mathematical Physics by Doebner Heinz-dietrich,Dobrev Vladimir K Pdf

Quantum symmetry modelled through quantum group or its dual, quantum algebra, is a very active field of relevant physical and mathematical research stimulated often by physical intuition and with promising physical applications. This volume gives some information on the progress of this field during the years after the quantum group workshop in Clausthal 1989. Quantum symmetry is connected with very different approaches and views. The field is not yet coherent; there are different notions of quantum groups and of quantum algebras through algebraic deformations of groups and algebras. Hence its development has various directions following more special mathematical and physical interests.

Author : Heinz Dietrich Doebner,Vladimir K. Dobrev
Publisher : Unknown
Page : 394 pages
File Size : 43,7 Mb
Release : 1993
Category : SCIENCE
ISBN : 9814535508

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Quantum Symmetries by Heinz Dietrich Doebner,Vladimir K. Dobrev Pdf

Author : Heinz Dietrich Doebner
Publisher : World Scientific Publishing Company Incorporated
Page : 379 pages
File Size : 43,5 Mb
Release : 1993-01-01
Category : Science
ISBN : 9810214758

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Quantum Symmetries by Heinz Dietrich Doebner Pdf

Author : M. B. Paranjape,Richard MacKenzie,Zora Thomova,Pavel Winternitz,William Witczak-Krempa
Publisher : Springer Nature
Page : 670 pages
File Size : 51,9 Mb
Release : 2021
Category : Electronic books
ISBN : 9783030557775

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Quantum Theory and Symmetries by M. B. Paranjape,Richard MacKenzie,Zora Thomova,Pavel Winternitz,William Witczak-Krempa Pdf

This volume of the CRM Conference Series is based on a carefully refereed selection of contributions presented at the "11th International Symposium on Quantum Theory and Symmetries", held in Montreal, Canada from July 1-5, 2019. The main objective of the meeting was to share and make accessible new research and recent results in several branches of Theoretical and Mathematical Physics, including Algebraic Methods, Condensed Matter Physics, Cosmology and Gravitation, Integrability, Non-perturbative Quantum Field Theory, Particle Physics, Quantum Computing and Quantum Information Theory, and String/ADS-CFT. There was also a special session in honour of Decio Levi. The volume is divided into sections corresponding to the sessions held during the symposium, allowing the reader to appreciate both the homogeneity and the diversity of mathematical tools that have been applied in these subject areas. Several of the plenary speakers, who are internationally recognized experts in their fields, have contributed reviews of the main topics to complement the original contributions. .

Author : Vladimir Dobrev
Publisher : Springer
Page : 427 pages
File Size : 45,5 Mb
Release : 2018-11-28
Category : Mathematics
ISBN : 9789811327155

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Quantum Theory and Symmetries with Lie Theory and Its Applications in Physics Volume 1 by Vladimir Dobrev Pdf

This book is the first volume of proceedings from the joint conference X International Symposium “Quantum Theory and Symmetries” (QTS-X) and XII International Workshop “Lie Theory and Its Applications in Physics” (LT-XII), held on 19–25 June 2017 in Varna, Bulgaria. The QTS series was founded on the core principle that symmetries underlie all descriptions of quantum systems. It has since evolved into a symposium at the forefront of theoretical and mathematical physics. The LT series covers the whole field of Lie theory in its widest sense, together with its applications in many areas of physics. As an interface between mathematics and physics, the workshop serves as a meeting place for mathematicians and theoretical and mathematical physicists. In dividing the material between the two volumes, the Editor has sought to select papers that are more oriented toward mathematics for the first volume, and those focusing more on physics for the second. However, this division is relative, since many papers are equally suitable for either volume. The topics addressed in this volume represent the latest trends in the fields covered by the joint conferences: representation theory, integrability, entanglement, quantum groups, number theory, conformal geometry, quantum affine superalgebras, noncommutative geometry. Further, they present various mathematical results: on minuscule modules, symmetry breaking operators, Kashiwara crystals, meta-conformal invariance, the superintegrable Zernike system.

Author : Vladimir Dobrev
Publisher : Springer
Page : 440 pages
File Size : 40,5 Mb
Release : 2018-09-30
Category : Science
ISBN : 9789811321795

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Quantum Theory and Symmetries with Lie Theory and Its Applications in Physics Volume 2 by Vladimir Dobrev Pdf

This book is the second volume of the proceedings of the joint conference X. International Symposium “Quantum Theory and Symmetries” (QTS-X) and XII. International Workshop “Lie Theory and Its Applications in Physics” (LT-XII), 19–25 June 2017, Varna, Bulgaria. The QTS series started around the core concept that symmetries underlie all descriptions of quantum systems. It has since evolved into a symposium on the frontiers of theoretical and mathematical physics. The LT series covers the whole field of Lie Theory in its widest sense together with its applications in many facets of physics. As an interface between mathematics and physics the workshop serves as a meeting place for mathematicians and theoretical and mathematical physicists. In the division of the material between the two volumes, the Editor has tried to select for the first and second volumes papers that are more oriented toward mathematics and physics, respectively. However, this division is relative since many papers could have been placed in either volume. The topics covered in this volume represent the most modern trends in the fields of the joint conferences: symmetries in string theories, conformal field theory, holography, gravity theories and cosmology, gauge theories, foundations of quantum theory, nonrelativistic and classical theories.

Author : Jan Govaerts,M Norbert Hounkonnou,Alfred Z Msezane
Publisher : World Scientific
Page : 628 pages
File Size : 53,5 Mb
Release : 2004-12-08
Category : Science
ISBN : 9789814481847

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Contemporary Problems in Mathematical Physics by Jan Govaerts,M Norbert Hounkonnou,Alfred Z Msezane Pdf

The COPROMAPH Conference series has now evolved into a significant international arena where fundamental concepts in mathematical and theoretical physics and their physics applications can be conceived, developed and disseminated. Basic ideas for addressing a variety of contemporary problems in mathematical and theoretical physics are presented in a nonintimidating atmosphere. Experts provide the reader the fundamentals to predict new possibilities in physics and other fields. The proceedings have been selected for coverage in: • Index to Scientific & Technical Proceedings® (ISTP® / ISI Proceedings) • Index to Scientific & Technical Proceedings (ISTP CDROM version / ISI Proceedings) • CC Proceedings — Engineering & Physical Sciences Contents:Lectures on Diffeomorphisms Groups in Quantum Physics (G A Goldin)On the Road Towards the Quantum Geometer's Universe: An Introduction to Four-Dimensional Supersymmetric Quantum Field Theory (J Govaerts)Theoretical Methods of Modern Classical and Quantum Physics:A Stochastic Streamflow Model Based on a Minimum Energy Expenditure Concept (A Afouda et al.)Regge Poles Trajectories for Nonsingular Potentials: The Thomas-Fermi Potentials (Z Felfli et al.)Proposed Differential Equation for Spin 1/2 (H V Mweene)Influence of Diseases and Arterial Prostheses on Solitary Blood Waves: Characteristics of an Ideal Prosthesis (S Noubissié & P Woafo)Coherent States, Wavelets and Geometric Methods in Theoretical Physics:Vector Coherent States over Matrix Domains (S T Ali)Wavelet Analysis and Some of Its Applications in Physics (J-P Antoine)Some Variations on the Berezin Quantization Method (M Engliš)Variational Analysis, PDE's and Image Analysis: The Big Picture and a Sampling of Details (N D George & K R Vixie)Functional Analysis Special Functions and Orthogonal Polynomials:On Generalized Continuous D Semi-Classical Orthogonal Polynomials of Class One (E S Azatassou & M N Hounkonnou)and other papers Readership: Researchers and professionals in physics and mathematics. Keywords:Mathematical Physics;Theoretical Physics;Quantum Physics;Coherent States;Supersymmetry

Author : Heinz Dietrich Doebner
Publisher : Springer
Page : 456 pages
File Size : 47,5 Mb
Release : 1990
Category : Science
ISBN : UOM:39015019663973

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Quantum Groups by Heinz Dietrich Doebner Pdf

A thorough analysis of exactly soluble models in nonlinear classical systems and in quantum systems as well as recent studies in conformal quantum field theory have revealed the structure of quantum groups to be an interesting and rich framework for mathematical and physical problems. In this book, for the first time, authors from different schools review in an intelligible way the various competing approaches: inverse scattering methods, 2-dimensional statistical models, Yang-Baxter algebras, the Bethe ansatz, conformal quantum field theory, representations, braid group statistics, noncommutative geometry, and harmonic analysis.

Author : P C Argyres,T J Hodges,F Mansouri,J J Scanio,P Suranyi,L C R Wijewardhana
Publisher : World Scientific
Page : 804 pages
File Size : 48,9 Mb
Release : 2004-10-08
Category : Science
ISBN : 9789814481601

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Quantum Theory and Symmetries by P C Argyres,T J Hodges,F Mansouri,J J Scanio,P Suranyi,L C R Wijewardhana Pdf

The book contains the text of lectures given at the third of a series of biennial symposia in mathematical physics held in odd-numbered years. The subject of the symposium is the frontiers of mathematical physics. It deals with quantum phenomena and includes topics such as string theory and quantum gravity, particle physics and field theory, non-communative geometry, integrable models and infinite dimensional symmetry groups, quantum computing and information processing, and quantum chaos. The proceedings have been selected for coverage in: • Index to Scientific & Technical Proceedings® (ISTP® / ISI Proceedings) • Index to Scientific & Technical Proceedings (ISTP CDROM version / ISI Proceedings) • CC Proceedings — Engineering & Physical Sciences Contents:Freydoon Mansouri Memorial LecturesAlgebras and RepresentationsQuantization and Quantum GravityD<4 Field TheoriesString and Brane WorldvolumesD>3 Field Theories and GravityString TheoryLoop Quantum GravityLorentz ViolationApplications Readership: Researchers, academics and postgraduates in high energy physics, mathematical physics and atomic physics. Keywords:Mathematical Physics;Strings;Quantum Gravity;Noncommutative Geometry

Author : Heinz Dietrich Doebner,V. K. Dobrev,Alexander G. Ushveridze
Publisher : World Scientific Publishing Company Incorporated
Page : 434 pages
File Size : 51,6 Mb
Release : 1994-01-01
Category : Science
ISBN : 9810217714

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Generalized Symmetries in Physics by Heinz Dietrich Doebner,V. K. Dobrev,Alexander G. Ushveridze Pdf

Author : J.P Gazeau,R Kerner,J.P Antoine,S Metens,J.Y Thibon
Publisher : CRC Press
Page : 1004 pages
File Size : 43,8 Mb
Release : 2003-11-30
Category : Mathematics
ISBN : 0750309334

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GROUP 24 by J.P Gazeau,R Kerner,J.P Antoine,S Metens,J.Y Thibon Pdf

One of the most enduring elements in theoretical physics has been group theory. GROUP 24: Physical and Mathematical Aspects of Symmetries provides an important selection of informative articles describing recent advances in the field. The applications of group theory presented in this book deal not only with the traditional fields of physics, but also include such disciplines as chemistry and biology. Awarded the Wigner Medal and the Weyl Prize, respectively, H.J. Lipkin and E. Frenkel begin the volume with their contributions. Plenary session contributions are represented by 18 longer articles, followed by nearly 200 shorter articles. The book also presents coherent states, wavelets, and applications and quantum group theory and integrable systems in two separate sections. As a record of an international meeting devoted to the physical and mathematical aspects of group theory, GROUP 24: Physical and Mathematical Aspects of Symmetries constitutes an essential reference for all researchers interested in various current developments related to the important concept of symmetry.

Author : L C Biedenharn,M A Lohe
Publisher : World Scientific
Page : 304 pages
File Size : 43,6 Mb
Release : 1995-08-31
Category : Science
ISBN : 9789814500135

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Quantum Group Symmetry and Q-Tensor Algebras by L C Biedenharn,M A Lohe Pdf

Quantum groups are a generalization of the classical Lie groups and Lie algebras and provide a natural extension of the concept of symmetry fundamental to physics. This monograph is a survey of the major developments in quantum groups, using an original approach based on the fundamental concept of a tensor operator. Using this concept, properties of both the algebra and co-algebra are developed from a single uniform point of view, which is especially helpful for understanding the noncommuting co-ordinates of the quantum plane, which we interpret as elementary tensor operators. Representations of the q-deformed angular momentum group are discussed, including the case where q is a root of unity, and general results are obtained for all unitary quantum groups using the method of algebraic induction. Tensor operators are defined and discussed with examples, and a systematic treatment of the important (3j) series of operators is developed in detail. This book is a good reference for graduate students in physics and mathematics. Contents:Origins of Quantum GroupsRepresentations of Unitary Quantum GroupsTensor Operators in Quantum GroupsThe Dual Algebra and the Factor GroupQuantum Rotation MatricesQuantum Groups at Roots of UnityAlgebraic Induction of Quantum Group RepresentationsSpecial TopicsBibliographyIndex Readership: Physicists and mathematicians interested in symmetry techniques in physics. keywords:Quantum Groups;Quantum Algebras;Tensor Operators;Symmetries;Representations;q-Boson Operators;q-Clebsch-Gordan Coefficients;Vector Coherent States;Algebraic Induction;Weyl-Ordered Polynomials

Author : Vladimir K Dobrev,Heinz-dietrich Doebner,J-d Hennig,W Lucke
Publisher : World Scientific
Page : 641 pages
File Size : 53,8 Mb
Release : 2000-05-05
Category : Science
ISBN : 9789814543040

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Quantum Theory And Symmetries - Proceedings Of The International Symposium by Vladimir K Dobrev,Heinz-dietrich Doebner,J-d Hennig,W Lucke Pdf

This volume gives a representative survey of recent developments in relativistic and non-relativistic quantum theory, which are related to the application of symmetries in their most general sense. The corresponding mathematical notions are centered upon groups, algebras and their generalizations, and are applied in interaction with topology, differential geometry, functional analysis and related fields. Special emphasis is on results in the following areas: quantization methods, nonlinear evolution equations, foundation of quantum physics, algebraic quantum field theory, gauge and string theories, quantum information, quantum groups, discrete symmetries.

Author : Jan Govaerts,M Norbert Hounkonnou,Alfred Z Msezane
Publisher : World Scientific
Page : 455 pages
File Size : 53,6 Mb
Release : 2006-10-05
Category : Science
ISBN : 9789814477642

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Contemporary Problems In Mathematical Physics - Proceedings Of The Fourth International Workshop by Jan Govaerts,M Norbert Hounkonnou,Alfred Z Msezane Pdf

The COPROMAPH Conference series has now evolved into a significant international arena where fundamental concepts in mathematical and theoretical physics and their applications can be conceived, developed and disseminated. The contributions in this volume address a variety of contemporary problems in mathematical and theoretical physics.

Author : Jan Govaerts,M. Norbert Hounkonnou,Alfred Z. Msezane
Publisher : World Scientific
Page : 508 pages
File Size : 53,6 Mb
Release : 2002
Category : Science
ISBN : 9810249357

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Proceedings of the Second International Workshop on Contemporary Problems in Mathematical Physics by Jan Govaerts,M. Norbert Hounkonnou,Alfred Z. Msezane Pdf

The following topics are discussed in this volume: recent developments in operator theory, coherent states and wavelet analysis, geometric and topological methods in theoretical physics and quantum field theory, and applications of these methods of mathematical physics to problems in atomic and molecular physics as well as the world of the elementary particles and their fundamental interactions. Two extensive sets of lecture notes on quantization techniques in general, and quantum gauge theories and strings as an avenue towards quantum geometry, are also included. The volume should be of interest to anyone working in a field using the mathematical methods associated with any of these topics.