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Harmonic Analysis On The N Dimensional Lorentz Group And Its Application To Conformal Quantum Field Theory Book in PDF, ePub and Kindle version is available to download in english. Read online anytime anywhere directly from your device. Click on the download button below to get a free pdf file of Harmonic Analysis On The N Dimensional Lorentz Group And Its Application To Conformal Quantum Field Theory book. This book definitely worth reading, it is an incredibly well-written.
Author : V. K. Dobrev,G. Mack,V. B. Petkova,S. G. Petrova,I. T. Todorov
Publisher : Springer
Page : 283 pages
File Size : 49,9 Mb
Release : 1977-04-01
Category : Science
ISBN : 354008150X
Author : V.K. Dobrev,G. Mack,V.B. Petkova
Publisher : Unknown
Page : 128 pages
File Size : 48,6 Mb
Release : 1977
Category : Electronic
ISBN : OCLC:902316851
Author : Philip C Argyres,Gerald Dunne,Gordon W Semenoff,L C Rohana Wijewardhana
Publisher : World Scientific
Page : 354 pages
File Size : 49,8 Mb
Release : 2022-10-25
Category : Science
ISBN : 9789811262364
This is a Festschrift compiled in honor of Professor Peter Suranyi, Professor Emeritus, University of Cincinnati. In a long career spanning almost 60 years, Professor Suranyi has made valuable contributions in many areas of theoretical physics, especially in the fields of strong interaction physics, quantum field theory, particle physics, statistical mechanics, lattice field theory, condensed matter physics, and particle cosmology. His important contributions range from analysis of Regge poles in quantum field theory, work on Reggeon field theory, developing improved perturbation theory methods and numerical simulation techniques, analyzing rigidity percolation and molecular clustering in network glasses, to his recent work on Bose condensate dark matter. This volume is our way of paying tribute to his scientific achievements, mentoring prowess, and his rigorous outlook on theoretical physics.
Author : H. D. Doebner,V. K. Dobrev
Publisher : World Scientific
Page : 439 pages
File Size : 47,9 Mb
Release : 2004
Category : Mathematics
ISBN : 9789812702562
This volume is targeted at theoretical physicists, mathematical physicists and mathematicians working on mathematical models for physical systems based on symmetry methods and in the field of Lie theory understood in the widest sense. It includes contributions on Lie theory, with two papers by the famous mathematician Kac (one paper with Bakalov), further papers by Aoki, Moens. Some other important contributions are in: field theory OCo Todorov, Grosse, Kreimer, Sokatchev, Gomez; string theory OCo Minwalla, Staudacher, Kostov; integrable systems OCo Belavin, Helminck, Ragoucy; quantum-mechanical and probabilistic systems OCo Goldin, Van der Jeugt, Leandre; quantum groups and related objects OCo Jakobsen, Arnaudon, Andruskiewitsch; and others. The proceedings have been selected for coverage in: . OCo Index to Scientific & Technical Proceedings- (ISTP- / ISI Proceedings). OCo Index to Scientific & Technical Proceedings (ISTP CDROM version / ISI Proceedings). OCo CC Proceedings OCo Engineering & Physical Sciences."
Author : Gregory S. Chirikjian,Alexander B. Kyatkin
Publisher : CRC Press
Page : 697 pages
File Size : 45,7 Mb
Release : 2021-02-25
Category : Mathematics
ISBN : 9781000694253
First published in 2001. The classical Fourier transform is one of the most widely used mathematical tools in engineering. However, few engineers know that extensions of harmonic analysis to functions on groups holds great potential for solving problems in robotics, image analysis, mechanics, and other areas. For those that may be aware of its potential value, there is still no place they can turn to for a clear presentation of the background they need to apply the concept to engineering problems. Engineering Applications of Noncommutative Harmonic Analysis brings this powerful tool to the engineering world. Written specifically for engineers and computer scientists, it offers a practical treatment of harmonic analysis in the context of particular Lie groups (rotation and Euclidean motion). It presents only a limited number of proofs, focusing instead on providing a review of the fundamental mathematical results unknown to most engineers and detailed discussions of specific applications. Advances in pure mathematics can lead to very tangible advances in engineering, but only if they are available and accessible to engineers. Engineering Applications of Noncommutative Harmonic Analysis provides the means for adding this valuable and effective technique to the engineer's toolbox.
Author : H-D Doebner,V K Dobrev
Publisher : World Scientific
Page : 436 pages
File Size : 50,5 Mb
Release : 2004-07-21
Category : Mathematics
ISBN : 9789814482189
This volume is targeted at theoretical physicists, mathematical physicists and mathematicians working on mathematical models for physical systems based on symmetry methods and in the field of Lie theory understood in the widest sense. It includes contributions on Lie theory, with two papers by the famous mathematician Kac (one paper with Bakalov), further papers by Aoki, Moens. Some other important contributions are in: field theory - Todorov, Grosse, Kreimer, Sokatchev, Gomez; string theory — Minwalla, Staudacher, Kostov; integrable systems - Belavin, Helminck, Ragoucy; quantum-mechanical and probabilistic systems — Goldin, Van der Jeugt, Leandre; quantum groups and related objects — Jakobsen, Arnaudon, Andruskiewitsch; and others. 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:Lie Theory:Twisted Modules over Lattice Vertex Algebras (B Bakalov & V G Kac)Structure Theory of Finite Lie Conformal Superalgebras (V G Kac et al.)On Characters and Dimension Formulas for Representations of the Lie Superalgebra gl(mn) (E M Moens & J Van der Jeugt)Matching Conditions for Invariant Eigendistributions on Some Semisimple Symmetric Spaces (S Aoki & S Kato)Field Theory:Rational Conformal Correlation Functions of Gauge Invariant Local Fields in Four Dimensions (I T Todorov et al.)Renormalisation of Noncommutative Scalar Field Theories (H Grosse & R Wulkenhaar)On the Insertion-Elimination Lie Algebra of Feynman Graphs (D Kreimer et al.)Superconformal Kinematics and Dynamics in the AdS/CFT Correspondence (E Sokatchev)Renormalons and Fractional Instantons (C Gomez)String Theory:The Hagedorn/Deconfinement Phase Transition in Weakly Coupled Large N Gauge Theories (S Minwalla et al.)Two-Loop Commuting Charges and the String/Gauge Duality (G Arutyunov & M Staudacher)Boundary Ground Ring and Disc Correlation Functions in Liouville Quantum Gravity (I Kostov)Integrable Systems:Quantum Group in Roots of Unity and the Restriction of XXZ Model (A Belavin)Spaces of Boundary Values Related to a Multipoint Version of the KP-Hierarchy (G F Helminck)Integrable Systems with Impurity (E Ragoucy)Quantum Mechanical and Probabilistic Systems:Measures on Spaces of Infinite-Dimensional Configurations, Group Representations, and Statistical Physics (G A Goldin et al.)On the n-Particle Wigner Quantum Oscillator: Noncommutative Coordinates and Particle Localisation (J Van der Jeugt et al.)Bundle Gerbes and Brownian Motion (R Léandre)Quantum Groups and Related Objects:Matrix Chain Models and Their q-Deformations (H P Jakobsen)Exotic Bialgebras: Non-Deformation Quantum Groups (D Arnaudon et al.)Irreducible Representations of Liftings of Quantum Planes (N Andruskiewitsch & M Beattie)and other papers Keywords:Lie Theory;Field Theory;String Theory;Integrable Systems;Quantum Mechanics;Probability;Quantum GroupsKey Features:Presents the latest developmentsCovers all the modern trendsIncludes contributions by the top scientists
Author : Ilia Binder,Dirk Kreimer
Publisher : American Mathematical Soc.
Page : 424 pages
File Size : 48,9 Mb
Release : 2024-07-03
Category : Science
ISBN : 0821871536
This book covers a wide range of phenomena in the natural sciences dominated by notions of universality and renormalization. The contributions in this volume are equally broad in their approach to these phenomena, offering the mathematical as well as the perspective of the applied sciences. They explore renormalization theory in quantum field theory and statistical physics, and its connections to modern mathematics as well as physics on scales from the microscopic to the macroscopic. Information for our distributors: Titles in this series are co-published with the Fields Institute for Research in Mathematical Sciences (Toronto, Ontario, Canada).
Author : Vladimir Dobrev
Publisher : Springer Science & Business Media
Page : 535 pages
File Size : 45,8 Mb
Release : 2013-04-09
Category : Mathematics
ISBN : 9784431542704
Traditionally, Lie Theory is a tool to build mathematical models for physical systems. Recently, the trend is towards geometrisation of the mathematical description of physical systems and objects. A geometric approach to a system yields in general some notion of symmetry which is very helpful in understanding its structure. Geometrisation and symmetries are meant in their broadest sense, i.e., classical geometry, differential geometry, groups and quantum groups, infinite-dimensional (super-)algebras, and their representations. Furthermore, we include the necessary tools from functional analysis and number theory. This is a large interdisciplinary and interrelated field. Samples of these new trends are presented in this volume, based on contributions from the Workshop “Lie Theory and Its Applications in Physics” held near Varna, Bulgaria, in June 2011. This book is suitable for an extensive audience of mathematicians, mathematical physicists, theoretical physicists, and researchers in the field of Lie Theory.
Author : Vladimir Dobrev
Publisher : Springer
Page : 427 pages
File Size : 40,5 Mb
Release : 2018-11-28
Category : Mathematics
ISBN : 9789811327155
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 K. Dobrev
Publisher : Walter de Gruyter GmbH & Co KG
Page : 406 pages
File Size : 46,7 Mb
Release : 2017-07-10
Category : Science
ISBN : 9783110427783
With applications in quantum field theory, general relativity and elementary particle physics, this three-volume work studies the invariance of differential operators under Lie algebras, quantum groups and superalgebras. This second volume covers quantum groups in their two main manifestations: quantum algebras and matrix quantum groups. The exposition covers both the general aspects of these and a great variety of concrete explicitly presented examples. The invariant q-difference operators are introduced mainly using representations of quantum algebras on their dual matrix quantum groups as carrier spaces. This is the first book that covers the title matter applied to quantum groups. Contents Quantum Groups and Quantum Algebras Highest-Weight Modules over Quantum Algebras Positive-Energy Representations of Noncompact Quantum Algebras Duality for Quantum Groups Invariant q-Difference Operators Invariant q-Difference Operators Related to GLq(n) q-Maxwell Equations Hierarchies
Author : Vladimir K. Dobrev
Publisher : Walter de Gruyter GmbH & Co KG
Page : 246 pages
File Size : 41,7 Mb
Release : 2019-04-01
Category : Mathematics
ISBN : 9783110611403
The De Gruyter Studies in Mathematical Physics are devoted to the publication of monographs and high-level texts in mathematical physics. They cover topics and methods in fields of current interest, with an emphasis on didactical presentation. The series will enable readers to understand, apply and develop further, with sufficient rigor, mathematical methods to given problems in physics. For this reason, works with a few authors are preferred over edited volumes. The works in this series are aimed at advanced students and researchers in mathematical and theoretical physics. They can also serve as secondary reading for lectures and seminars at advanced levels.
Author : Erik Koelink,Stefan Kolb,Nicolai Reshetikhin,Bart Vlaar
Publisher : American Mathematical Soc.
Page : 362 pages
File Size : 54,9 Mb
Release : 2022-08-30
Category : Education
ISBN : 9781470465209
This volume contains the proceedings of the virtual conference on Hypergeometry, Integrability and Lie Theory, held from December 7–11, 2020, which was dedicated to the 50th birthday of Jasper Stokman. The papers represent recent developments in the areas of representation theory, quantum integrable systems and special functions of hypergeometric type.
Author : Vladimir K. Dobrev
Publisher : Walter de Gruyter GmbH & Co KG
Page : 226 pages
File Size : 48,9 Mb
Release : 2018-09-24
Category : Mathematics
ISBN : 9783110527490
With applications in quantum field theory, general relativity and elementary particle physics, this four-volume work studies the invariance of differential operators under Lie algebras, quantum groups and superalgebras. This third volume covers supersymmetry, including detailed coverage of conformal supersymmetry in four and some higher dimensions, furthermore quantum superalgebras are also considered. Contents Lie superalgebras Conformal supersymmetry in 4D Examples of conformal supersymmetry for D > 4 Quantum superalgebras
Author : Mohammad Enayati
Publisher : Springer Nature
Page : 250 pages
File Size : 55,8 Mb
Release : 2024-07-03
Category : Electronic
ISBN : 9783031565526
Author : Ludwig Streit
Publisher : World Scientific
Page : 348 pages
File Size : 48,7 Mb
Release : 1985
Category : Science
ISBN : 9789971966645
http://www.worldscientific.com/worldscibooks/10.1142/0101