Lie Algebras Cohomology And New Applications To Quantum Mechanics

Author : Niky Kamran
Publisher : American Mathematical Soc.
ISBN 13 : 0821851691
Total Pages : 310 pages
Book Rating : 4.92/5 ( download)

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Download or read book Lie Algebras, Cohomology, and New Applications to Quantum Mechanics, written by Niky Kamran and published by American Mathematical Soc.. This book was released on 1994 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is devoted to a range of important new ideas arising in the applications of Lie groups and Lie algebras to Schrodinger operators and associated quantum mechanical systems. In these applications, the group does not appear as a standard symmetry group, but rather as a "hidden" symmetry group whose representation theory can still be employed to analyze at least part of the spectrum of the operator. In light of the rapid developments in this subject, a Special Session was organized at the AMS meeting at Southwest Missouri State University in March 1992 in order to bring together, perhaps for the first time, mathematicians and physicists working in closely related areas. The contributions to this volume cover Lie group methods, Lie algebras and Lie algebra cohomology, representation theory, orthogonal polynomials, q-series, conformal field theory, quantum groups, scattering theory, classical invariant theory, and other topics. This volume, which contains a good balance of research and survey papers, presents at look at some of the current development in this extraordinarily rich and vibrant area.

Author : Josi A. de Azcárraga
Publisher : Cambridge University Press
ISBN 13 : 9780521597005
Total Pages : 480 pages
Book Rating : 4.05/5 ( download)

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Download or read book Lie Groups, Lie Algebras, Cohomology and Some Applications in Physics written by Josi A. de Azcárraga and published by Cambridge University Press. This book was released on 1998-08-06 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt: A self-contained introduction to the cohomology theory of Lie groups and some of its applications in physics.

Author : Murray Gerstenhaber
Publisher : American Mathematical Soc.
ISBN 13 : 0821851411
Total Pages : 377 pages
Book Rating : 4.18/5 ( download)

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Download or read book Deformation Theory and Quantum Groups with Applications to Mathematical Physics written by Murray Gerstenhaber and published by American Mathematical Soc.. This book was released on 1992 with total page 377 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum groups are not groups at all, but special kinds of Hopf algebras of which the most important are closely related to Lie groups and play a central role in the statistical and wave mechanics of Baxter and Yang. Those occurring physically can be studied as essentially algebraic and closely related to the deformation theory of algebras (commutative, Lie, Hopf, and so on). One of the oldest forms of algebraic quantization amounts to the study of deformations of a commutative algebra $A$ (of classical observables) to a noncommutative algebra $A_h$ (of operators) with the infinitesimal deformation given by a Poisson bracket on the original algebra $A$. This volume grew out of an AMS-IMS-SIAM Joint Summer Research Conference, held in June 1990 at the University of Massachusetts at Amherst. The conference brought together leading researchers in the several areas mentioned and in areas such as ``$q$ special functions'', which have their origins in the last century but whose relevance to modern physics has only recently been understood. Among the advances taking place during the conference was Majid's reconstruction theorem for Drinfeld's quasi-Hopf algebras. Readers will appreciate this snapshot of some of the latest developments in the mathematics of quantum groups and deformation theory.

Author : D. J. Simms
Publisher : Springer
ISBN 13 : 3540358293
Total Pages : 93 pages
Book Rating : 4.99/5 ( download)

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Download or read book Lie Groups and Quantum Mechanics written by D. J. Simms and published by Springer. This book was released on 2006-11-15 with total page 93 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Jürgen Fuchs
Publisher : Cambridge University Press
ISBN 13 : 9780521484121
Total Pages : 452 pages
Book Rating : 4.2X/5 ( download)

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Download or read book Affine Lie Algebras and Quantum Groups written by Jürgen Fuchs and published by Cambridge University Press. This book was released on 1995-03-09 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is an introduction to the theory of affine Lie Algebras, to the theory of quantum groups, and to the interrelationships between these two fields that are encountered in conformal field theory.

Author : Yi-Zhi Huang
Publisher : American Mathematical Soc.
ISBN 13 : 0821839861
Total Pages : 500 pages
Book Rating : 4.67/5 ( download)

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Download or read book Lie Algebras, Vertex Operator Algebras and Their Applications written by Yi-Zhi Huang and published by American Mathematical Soc.. This book was released on 2007 with total page 500 pages. Available in PDF, EPUB and Kindle. Book excerpt: The articles in this book are based on talks given at the international conference 'Lie algebras, vertex operator algebras and their applications'. The focus of the papers is mainly on Lie algebras, quantum groups, vertex operator algebras and their applications to number theory, combinatorics and conformal field theory.

Author : Das Ashok
Publisher : World Scientific
ISBN 13 : 9814603295
Total Pages : 360 pages
Book Rating : 4.94/5 ( download)

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Download or read book Lie Groups And Lie Algebras For Physicists written by Das Ashok and published by World Scientific. This book was released on 2014-09-03 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is intended for graduate students of theoretical physics (with a background in quantum mechanics) as well as researchers interested in applications of Lie group theory and Lie algebras in physics. The emphasis is on the inter-relations of representation theories of Lie groups and the corresponding Lie algebras.

Author : Robert Hermann
Publisher :
ISBN 13 :
Total Pages : 340 pages
Book Rating : 4.2J/5 ( download)

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Download or read book Lie Algebras and Quantum Mechanics written by Robert Hermann and published by . This book was released on 1970 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Palle E.T. Jorgensen
Publisher : Courier Dover Publications
ISBN 13 : 0486815722
Total Pages : 307 pages
Book Rating : 4.25/5 ( download)

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Download or read book Operators and Representation Theory written by Palle E.T. Jorgensen and published by Courier Dover Publications. This book was released on 2017-06-21 with total page 307 pages. Available in PDF, EPUB and Kindle. Book excerpt: Three-part treatment covers background material on definitions, terminology, operators in Hilbert space domains of representations, operators in the enveloping algebra, spectral theory; and covariant representation and connections. 2017 edition.

Author : Alejandro Adem
Publisher : American Mathematical Soc.
ISBN 13 : 0821803050
Total Pages : 250 pages
Book Rating : 4.59/5 ( download)

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Download or read book Homotopy Theory and Its Applications written by Alejandro Adem and published by American Mathematical Soc.. This book was released on 1995 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the result of a conference held to examine developments in homotopy theory in honor of Samuel Gitler in July 1993 (Cocoyoc, Mexico). It includes several research papers and three expository papers on various topics in homotopy theory. The research papers discuss the following: BL application of homotopy theory to group theory BL fiber bundle theory BL homotopy theory The expository papers consider the following topics: BL the Atiyah-Jones conjecture (by C. Boyer) BL classifying spaces of finite groups (by J. Martino) BL instanton moduli spaces (by J. Milgram) Homotopy Theory and Its Applications offers a distinctive account of how homotopy theoretic methods can be applied to a variety of interesting problems.