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Author : Arnold Neumaier
Publisher :
ISBN 13 : 9783110406108
Total Pages : 500 pages
Book Rating : 4.4/5 (61 download)
Download or read book Quantum Mechanics Via Lie Algebras written by Arnold Neumaier and published by . This book was released on 2020-10-04 with total page 500 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : D. J. Simms
Publisher : Springer
ISBN 13 : 3540358293
Total Pages : 93 pages
Book Rating : 4.5/5 (43 download)
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 : Yair Shapira
Publisher :
ISBN 13 : 9789811240065
Total Pages : 678 pages
Book Rating : 4.2/5 (4 download)
Download or read book Classical and Quantum Mechanics with Lie Algebras written by Yair Shapira and published by . This book was released on 2021 with total page 678 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Peter Woit
Publisher : Springer
ISBN 13 : 3319646125
Total Pages : 668 pages
Book Rating : 4.3/5 (196 download)
Download or read book Quantum Theory, Groups and Representations written by Peter Woit and published by Springer. This book was released on 2017-11-01 with total page 668 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text systematically presents the basics of quantum mechanics, emphasizing the role of Lie groups, Lie algebras, and their unitary representations. The mathematical structure of the subject is brought to the fore, intentionally avoiding significant overlap with material from standard physics courses in quantum mechanics and quantum field theory. The level of presentation is attractive to mathematics students looking to learn about both quantum mechanics and representation theory, while also appealing to physics students who would like to know more about the mathematics underlying the subject. This text showcases the numerous differences between typical mathematical and physical treatments of the subject. The latter portions of the book focus on central mathematical objects that occur in the Standard Model of particle physics, underlining the deep and intimate connections between mathematics and the physical world. While an elementary physics course of some kind would be helpful to the reader, no specific background in physics is assumed, making this book accessible to students with a grounding in multivariable calculus and linear algebra. Many exercises are provided to develop the reader's understanding of and facility in quantum-theoretical concepts and calculations.
Author : Brian C. Hall
Publisher : Springer Science & Business Media
ISBN 13 : 1461471168
Total Pages : 554 pages
Book Rating : 4.4/5 (614 download)
Download or read book Quantum Theory for Mathematicians written by Brian C. Hall and published by Springer Science & Business Media. This book was released on 2013-06-19 with total page 554 pages. Available in PDF, EPUB and Kindle. Book excerpt: Although ideas from quantum physics play an important role in many parts of modern mathematics, there are few books about quantum mechanics aimed at mathematicians. This book introduces the main ideas of quantum mechanics in language familiar to mathematicians. Readers with little prior exposure to physics will enjoy the book's conversational tone as they delve into such topics as the Hilbert space approach to quantum theory; the Schrödinger equation in one space dimension; the Spectral Theorem for bounded and unbounded self-adjoint operators; the Stone–von Neumann Theorem; the Wentzel–Kramers–Brillouin approximation; the role of Lie groups and Lie algebras in quantum mechanics; and the path-integral approach to quantum mechanics. The numerous exercises at the end of each chapter make the book suitable for both graduate courses and independent study. Most of the text is accessible to graduate students in mathematics who have had a first course in real analysis, covering the basics of L2 spaces and Hilbert spaces. The final chapters introduce readers who are familiar with the theory of manifolds to more advanced topics, including geometric quantization.
Author : Jürgen Fuchs
Publisher : Cambridge University Press
ISBN 13 : 9780521484121
Total Pages : 452 pages
Book Rating : 4.4/5 (841 download)
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 : Vladislav Kharchenko
Publisher : Springer
ISBN 13 : 9783319227030
Total Pages : 0 pages
Book Rating : 4.2/5 (27 download)
Download or read book Quantum Lie Theory written by Vladislav Kharchenko and published by Springer. This book was released on 2015-12-25 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is an introduction to the mathematics behind the phrase “quantum Lie algebra”. The numerous attempts over the last 15-20 years to define a quantum Lie algebra as an elegant algebraic object with a binary “quantum” Lie bracket have not been widely accepted. In this book, an alternative approach is developed that includes multivariable operations. Among the problems discussed are the following: a PBW-type theorem; quantum deformations of Kac--Moody algebras; generic and symmetric quantum Lie operations; the Nichols algebras; the Gurevich--Manin Lie algebras; and Shestakov--Umirbaev operations for the Lie theory of nonassociative products. Opening with an introduction for beginners and continuing as a textbook for graduate students in physics and mathematics, the book can also be used as a reference by more advanced readers. With the exception of the introductory chapter, the content of this monograph has not previously appeared in book form.
Author : Howard Georgi
Publisher : Routledge
ISBN 13 : 9780367091729
Total Pages : 340 pages
Book Rating : 4.0/5 (917 download)
Download or read book Lie Algebras in Particle Physics written by Howard Georgi and published by Routledge. This book was released on 2019-05-07 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: An exciting new edition of a classic text.
Author : Howard Georgi
Publisher : CRC Press
ISBN 13 : 0429967764
Total Pages : 340 pages
Book Rating : 4.4/5 (299 download)
Download or read book Lie Algebras In Particle Physics written by Howard Georgi and published by CRC Press. This book was released on 2018-05-04 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, the author convinces that Sir Arthur Stanley Eddington had things a little bit wrong, as least as far as physics is concerned. He explores the theory of groups and Lie algebras and their representations to use group representations as labor-saving tools.
Author : Francesco Iachello
Publisher : Springer
ISBN 13 : 3540362398
Total Pages : 196 pages
Book Rating : 4.5/5 (43 download)
Download or read book Lie Algebras and Applications written by Francesco Iachello and published by Springer. This book was released on 2007-02-22 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book, designed for advanced graduate students and post-graduate researchers, introduces Lie algebras and some of their applications to the spectroscopy of molecules, atoms, nuclei and hadrons. The book contains many examples that help to elucidate the abstract algebraic definitions. It provides a summary of many formulas of practical interest, such as the eigenvalues of Casimir operators and the dimensions of the representations of all classical Lie algebras.
Author : Robert Hermann
Publisher :
ISBN 13 :
Total Pages : 340 pages
Book Rating : 4.:/5 (319 download)
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 : Robert N. Cahn
Publisher : Courier Corporation
ISBN 13 : 0486150313
Total Pages : 180 pages
Book Rating : 4.4/5 (861 download)
Download or read book Semi-Simple Lie Algebras and Their Representations written by Robert N. Cahn and published by Courier Corporation. This book was released on 2014-06-10 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt: Designed to acquaint students of particle physiME already familiar with SU(2) and SU(3) with techniques applicable to all simple Lie algebras, this text is especially suited to the study of grand unification theories. Author Robert N. Cahn, who is affiliated with the Lawrence Berkeley National Laboratory in Berkeley, California, has provided a new preface for this edition. Subjects include the killing form, the structure of simple Lie algebras and their representations, simple roots and the Cartan matrix, the classical Lie algebras, and the exceptional Lie algebras. Additional topiME include Casimir operators and Freudenthal's formula, the Weyl group, Weyl's dimension formula, reducing product representations, subalgebras, and branching rules. 1984 edition.
Author : Yair Shapira
Publisher : World Scientific
ISBN 13 : 9811240078
Total Pages : 711 pages
Book Rating : 4.8/5 (112 download)
Download or read book Classical And Quantum Mechanics With Lie Algebras written by Yair Shapira and published by World Scientific. This book was released on 2021-07-19 with total page 711 pages. Available in PDF, EPUB and Kindle. Book excerpt: How to see physics in its full picture? This book offers a new approach: start from math, in its simple and elegant tools: discrete math, geometry, and algebra, avoiding heavy analysis that might obscure the true picture. This will get you ready to master a few fundamental topics in physics: from Newtonian mechanics, through relativity, towards quantum mechanics.Thanks to simple math, both classical and modern physics follow and make a complete vivid picture of physics. This is an original and unified point of view to highlighting physics from a fresh pedagogical angle.Each chapter ends with a lot of relevant exercises. The exercises are an integral part of the chapter: they teach new material and are followed by complete solutions. This is a new pedagogical style: the reader takes an active part in discovering the new material, step by step, exercise by exercise.The book could be used as a textbook in undergraduate courses such as Introduction to Newtonian mechanics and special relativity, Introduction to Hamiltonian mechanics and stability, Introduction to quantum physics and chemistry, and Introduction to Lie algebras with applications in physics.
Author : Niky Kamran
Publisher : American Mathematical Soc.
ISBN 13 : 0821851691
Total Pages : 310 pages
Book Rating : 4.8/5 (218 download)
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 : Brian C. Hall
Publisher : Springer Science & Business Media
ISBN 13 : 9780387401225
Total Pages : 376 pages
Book Rating : 4.4/5 (12 download)
Download or read book Lie Groups, Lie Algebras, and Representations written by Brian C. Hall and published by Springer Science & Business Media. This book was released on 2003-08-07 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an introduction to Lie groups, Lie algebras, and repre sentation theory, aimed at graduate students in mathematics and physics. Although there are already several excellent books that cover many of the same topics, this book has two distinctive features that I hope will make it a useful addition to the literature. First, it treats Lie groups (not just Lie alge bras) in a way that minimizes the amount of manifold theory needed. Thus, I neither assume a prior course on differentiable manifolds nor provide a con densed such course in the beginning chapters. Second, this book provides a gentle introduction to the machinery of semi simple groups and Lie algebras by treating the representation theory of SU(2) and SU(3) in detail before going to the general case. This allows the reader to see roots, weights, and the Weyl group "in action" in simple cases before confronting the general theory. The standard books on Lie theory begin immediately with the general case: a smooth manifold that is also a group. The Lie algebra is then defined as the space of left-invariant vector fields and the exponential mapping is defined in terms of the flow along such vector fields. This approach is undoubtedly the right one in the long run, but it is rather abstract for a reader encountering such things for the first time.
Author : Robert Gilmore
Publisher : Cambridge University Press
ISBN 13 : 113946907X
Total Pages : 5 pages
Book Rating : 4.1/5 (394 download)
Download or read book Lie Groups, Physics, and Geometry written by Robert Gilmore and published by Cambridge University Press. This book was released on 2008-01-17 with total page 5 pages. Available in PDF, EPUB and Kindle. Book excerpt: Describing many of the most important aspects of Lie group theory, this book presents the subject in a 'hands on' way. Rather than concentrating on theorems and proofs, the book shows the applications of the material to physical sciences and applied mathematics. Many examples of Lie groups and Lie algebras are given throughout the text. The relation between Lie group theory and algorithms for solving ordinary differential equations is presented and shown to be analogous to the relation between Galois groups and algorithms for solving polynomial equations. Other chapters are devoted to differential geometry, relativity, electrodynamics, and the hydrogen atom. Problems are given at the end of each chapter so readers can monitor their understanding of the materials. This is a fascinating introduction to Lie groups for graduate and undergraduate students in physics, mathematics and electrical engineering, as well as researchers in these fields.
Author : Josi A. de Azcárraga
Publisher : Cambridge University Press
ISBN 13 : 9780521597005
Total Pages : 480 pages
Book Rating : 4.5/5 (97 download)
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.
