Symmetries In Science Vi

Author : Samuel H. Gruber
Publisher : Springer Science & Business Media
Page : 749 pages
File Size : 54,8 Mb
Release : 2013-11-11
Category : Science
ISBN : 9781489912190

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Symmetries in Science VI by Samuel H. Gruber Pdf

The Symposium ·Symmetries in Science VI: From the Rotation Group to Quantum Algebras· was held at the Cloister Mehrerau, Bregenz, Austria, during the period August 2-7, 1992. The Symposium was held in honor of Professor Lawrence C. Biedenharn on the occasion of his 70th birthday. During the academic year 1966/67 I worked as research associate with Larry at Duke University and we have ever since maintained close contact. It was thus natural for me to take the initiative and to organize this Symposium in honor of Larry as a great scientist and friend. The response which the Symposium received showed the favorable reaction by the scientific community to the opportunity provided by the Symposium to honor our colleague, teacher and friend. Equally, the scientific contributions contained in this volume illustrate the high esteem in which he is held. I wish to thank all the scientists who participated in the Symposium and who contributed to this volume. It is due to their commitment that the Symposium was successful. Finally I need to thank those who provided financial and logistical assistance to the Symposium: Dr. John H. Guyon, President of Southern Illinois University at Carbondale, Dr. Russell R. Dutcher, Dean, College of Science at SIUC, Dr. Maurice A. Wright, Chairman, Department of Physics, SIUC, Dr. Victoria J. Molfese, Office of Research Developement and Administration, SIUC, as well as Dr. Martin Purtscher, Landeshauptmann, Land Vorarlberg Dr. Guntram Lins, Landesrat, Land Vorarlberg.

Author : Bruno Gruber
Publisher : Springer Science & Business Media
Page : 454 pages
File Size : 48,8 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461519157

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Symmetries in Science VIII by Bruno Gruber Pdf

Thf3 symposium "Symmetries in Science VIII" was held in August of 1994 at the Cloister Mehrerau in Bregenz, Austria. The symposium was supported by Southern Illinois University at Carbondale, the Land Vorarlberg, and the Landeshaupstaot Bregenz. I wish to thank Dr. John C. Guyon, President of Southern Illinois University at Carbondale; Dr. Hubert Regner, Amt der Vorarlberger Landesregierung; and Dipl. Vw. Siegfried Gasser, Buergermeister der Landeshauptstadt Bregenz and Lantagsabgeordneter, for their generous support of the symposium. Finally I wish to thank Frater Albin of the Cloister Mehrerau for his support and cooperation in this endeavor, which made for a successful meeting in a most pleasant environment. Bruno Gruber v CONTENTS On Om x Gin Highest Weight Vectors Helmer Aslaksen, Eng-Chye Tan, and Chen-bo Zhu ... . Invariant Theory of Matrices Helmer Aslaksen, Eng-Chye Tan, and Chen-bo Zhu ... . 1 3 Symmetries of Elementary Particles Revisited A.O. Barut ... ... ... 21 Perturbative SU(1,1) Haluk Seker ... . ..., . ... 25 A Dual Structure for the Quantal Rotation Group, SU(2) L.C. Biedenharn and M.A. Lohe ..., . ... ... 37 Some Points in the Quantization of Relativistic Grassmann Dependent Interaction Systems A. Del Sol Mesa and R, P. Martinez y Romero ..., . ... 49 for Uq(sl(4)) and q-Conformal q-Difference Intertwining Operators I nvariant Equations V.K. Dobrev ... ... ... 55 A Quantum Mechanical Evolution Equation for Mixed States from Symmetry and Kinematics H.-D. Doebner and J.D. Hennig ... ... 85 vii Quantum Mechanical Motions over the Group Manifolds and Related Potentials I.H. Duru -. ... ... ...

Author : Bruno Gruber,Takaharu Otsuka
Publisher : Springer Science & Business Media
Page : 613 pages
File Size : 40,5 Mb
Release : 2012-12-06
Category : Science
ISBN : 9781461529569

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Symmetries in Science VII by Bruno Gruber,Takaharu Otsuka Pdf

The Symposium "Symmetries in Science VII: Spectrum Generating Algebras and Dynamic Symmetries in Physics" was held at the Southern Illinois University at Carbondale in Niigata, Japan Campus, during the period August 28-31, 1992. The Symposium was held in honor of Professor Francesco lachello on the occasion of his 50th birthday. We wish to thank the colleagues and friends of Franco for their participation in the Symposium as well as for contributing articles to this volume honoring him. It was their commitment and involvement which made this Symposium a success. We also wish to thank Dr. Jared H. Dorn, the director of SIUC-N, for his support in the planning and the execution of the Symposium. Moreover we wish to thank Mayor Nobuo Kumakura of Nakajo town and Mr. Kaichi Suzuki of the school entity "The Pacific" for their friendly support. Bruno Gruber, SIUC-N Takaharu Otsuka, University of Tokyo v LAUDATIO ON THE OCCASION OF THE 50TH BIRTHDAY OF PROFESSOR FRANCESCO IACHELLO I first met Franco lachello in 1974. Driving a smart Alfa-Romeo, he came to meet me at the station at Groningen where I was to spend a summer conducting research.

Author : Bruno Gruber,Michael Ramek
Publisher : Springer Science & Business Media
Page : 446 pages
File Size : 45,7 Mb
Release : 2013-06-29
Category : Mathematics
ISBN : 9781489915375

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Symmetries in Science X by Bruno Gruber,Michael Ramek Pdf

Proceedings an International Symposium held in Bregenz, Austria, July 13-18, 1997

Author : Bruno Gruber,Michael Ramek
Publisher : Springer Science & Business Media
Page : 352 pages
File Size : 43,7 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461559214

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Symmetries in Science IX by Bruno Gruber,Michael Ramek Pdf

Proceedings of a symposium held in Bregenz, Austria, August 6-10, 1996

Author : Bruno Gruber
Publisher : Springer Science & Business Media
Page : 602 pages
File Size : 46,9 Mb
Release : 2012-12-06
Category : Science
ISBN : 9781461307877

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Symmetries in Science III by Bruno Gruber Pdf

Nicely printed and bound proceedings of a major symposium contain 29 reviews of highly diverse developments in the world of symmetry, plus 14 rather briefer research papers. The variety of the topics treated and the authority of the contributors suggest that most physical theorists will find here so

Author : Bruno Gruber,L.C. Biedenharn,H.D. Döbner
Publisher : Springer Science & Business Media
Page : 604 pages
File Size : 42,7 Mb
Release : 2012-12-06
Category : Technology & Engineering
ISBN : 9781461536963

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Symmetries in Science V by Bruno Gruber,L.C. Biedenharn,H.D. Döbner Pdf

Proceedings of a symposium held in Landesbildungszentrum Schloss Hofen, Lochau, Vorarlberg, Austria, July 30-August 3, 1990

Author : Joe Rosen
Publisher : Springer
Page : 240 pages
File Size : 40,6 Mb
Release : 1995-03-24
Category : Mathematics
ISBN : UOM:49015002342997

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Symmetry in Science by Joe Rosen Pdf

Discusses the concept of symmetry and its application in science. While it includes a detailed introduction to the theory of groups, which forms the mathematical apparatus for describing symmetries, it also includes a much more general discussion of the nature of symmetry and its role in science.

Author : L C Biedenharn,M A Lohe
Publisher : World Scientific
Page : 304 pages
File Size : 42,9 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 : Kaoru Yamanouchi,Gustav Gerber,Andre D Bandrauk
Publisher : Springer Science & Business Media
Page : 248 pages
File Size : 50,6 Mb
Release : 2010-11-25
Category : Science
ISBN : 9783642150548

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Progress in Ultrafast Intense Laser Science VI by Kaoru Yamanouchi,Gustav Gerber,Andre D Bandrauk Pdf

The PUILS series delivers reviews of progress in Ultrafast Intense Laser Science, an emerging field. This sixth volume covers a broad range of topics from this interdisciplinary research field to provide a state-of-the-art report of short time Laser physics.

Author : H-D Doebner,V K Dobrev,A G Ushveridze
Publisher : World Scientific
Page : 444 pages
File Size : 55,9 Mb
Release : 1994-07-05
Category : Electronic
ISBN : 9789814550888

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Generalized Symmetries in Physics by H-D Doebner,V K Dobrev,A G Ushveridze Pdf

This volume contains material submitted to a symposium on mathematical physics in July 1993 at the Technical University of Clausthal. It focuses on mathematical and physical notions of symmetries, especially on generalized and quantum symmetries (quantum groups and algebras) with applications to integrable systems, quasi-exact solvability, quantization methods and nonlinear problems. The workshop is a continuation of the series of meetings and workshops on mathematical physics in Clausthal which brings together mathematicians, theoretical and mathematical physicists working in the different parts of generalized symmetries. Recent developments in the mathematical structure and physical applications of generalized symmetries are discussed. Contents:Representations of Quantum Groups and Their Applications:A Graph Generalization of Quantum Groups (C Gómez & G Sierra)Cross Product Quantisation, Nonabelian Cohomology and Twisting of Hopf Algebras (S Majid)Miscellaneous Physical Applications of Quantum Algebras (M Kibler)Positive Energy Representations of Noncompact Quantum Algebras (V K Dobrev)Structure of Quantum Groups and Their Differential Calculi:From Classical to Quantum: The Question of Universality (P Truini)On Quantum Groups from the Quantization Point of View (B Jurčo)Quantum Poincaré Subgroup of q-Conformal Group and q-Minkowski Geometry (M Chaichian & A P Demichev)Bicovariant Differential Calculi on Quantum Groups An-1, Bn, Cn and Dn (K Schmüdgen & A Schüler)Symmetries and Integrability:The Yang-Baxter Symmetry in Field Theory (H J de Vega)Integrable and Algebraically Solvable Systems (H-D Doebner & A G Ushveridze)Integrable Systems in Higher Dimensions (D B Fairlie)Appell Functions and the Pöschl-Teller Potential (L Lapointe & L Vinet)Symmetries in Field Theory:Can Anomalies Melt? (H Grosse et al)Renormalization of Current Algebra (J Mickelsson)Subfactors and Coset Models (K-H Rehren)Mathematical Structures:Z3-Grading and Ternary Algebraic Structures (R Kerner)Poisson Lie Groups and Nonlinear Convexity Theorems (J Hilgert  K-H Neeb)Quantization on Homogeneous Compact Kähler Manifolds (D Bar-Moshe & M S Marinov)and other papers Readership: Mathematical physicists. keywords:

Author : Bruno Gruber,Giuseppe Marmo,Naotaka Yoshinaga
Publisher : Springer Science & Business Media
Page : 623 pages
File Size : 55,5 Mb
Release : 2005-12-27
Category : Science
ISBN : 9781402026348

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Symmetries in Science XI by Bruno Gruber,Giuseppe Marmo,Naotaka Yoshinaga Pdf

This book is a collection of reviews and essays about the recent developments in the area of Symmetries and applications of Group Theory. Contributions have been written mostly at the graduate level but some are accessible to advanced undergraduates. The book is of interest to a wide audience and covers a broad range of topics with a strong degree of thematical unity. The book is part of a Series of books on Symmetries in Science and may be compared to the published Proceedings of the Colloquia on Group Theoretical Methods in Physics. Here, however, prevails a distinguished character for presenting extended reviews on present applications to Science, not restricted to Theoretical Physics.

Author : John Avery,Sten Rettrup,James Emil Avery
Publisher : World Scientific
Page : 239 pages
File Size : 46,8 Mb
Release : 2011-10-31
Category : Science
ISBN : 9789814350464

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Symmetry-adapted Basis Sets by John Avery,Sten Rettrup,James Emil Avery Pdf

In theoretical physics, theoretical chemistry and engineering, one often wishes to solve partial differential equations subject to a set of boundary conditions. This gives rise to eigenvalue problems of which some solutions may be very difficult to find. For example, the problem of finding eigenfunctions and eigenvalues for the Hamiltonian of a many-particle system is usually so difficult that it requires approximate methods, the most common of which is expansion of the eigenfunctions in terms of basis functions that obey the boundary conditions of the problem. The computational effort needed in such problems can be much reduced by making use of symmetry-adapted basis functions. The conventional method for generating symmetry-adapted basis sets is through the application of group theory, but this can be difficult. This book describes an easier method for generating symmetry-adapted basis sets automatically with computer techniques. The method has a wide range of applicability, and can be used to solve difficult eigenvalue problems in a number of fields. The book is of special interest to quantum theorists, computer scientists, computational chemists and applied mathematicians.

Author : Joseph Rosen
Publisher : Unknown
Page : 213 pages
File Size : 50,6 Mb
Release : 1995
Category : Electronic
ISBN : 3540943757

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Symmetry in Science by Joseph Rosen Pdf

Author : Anonim
Publisher : Unknown
Page : 722 pages
File Size : 51,6 Mb
Release : 1997
Category : Lasers
ISBN : PSU:000033201306

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International Conference on Squeezed States and Uncertainty Relations by Anonim Pdf