[PDF] Lie Groups And Lie Algebras For Physicists eBook

Author : Robert Gilmore
Publisher : Cambridge University Press
Page : 5 pages
File Size : 23,34 MB
Release : 2008-01-17
Category : Science
ISBN : 113946907X

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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 : Ashok Das
Publisher :
Page : 0 pages
File Size : 43,10 MB
Release : 2014
Category : Group theory
ISBN : 9789814603270

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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 : Adam M. Bincer
Publisher : Oxford University Press
Page : 216 pages
File Size : 10,10 MB
Release : 2013
Category : Mathematics
ISBN : 0199662924

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This book is intended for graduate students in Physics. It starts with a discussion of angular momentum and rotations in terms of the orthogonal group in three dimensions and the unitary group in two dimensions and goes on to deal with these groups in any dimensions. All representations of su(2) are obtained and the Wigner-Eckart theorem is discussed. Casimir operators for the orthogonal and unitary groups are discussed. The exceptional group G2 is introduced as the group of automorphisms of octonions. The symmetric group is used to deal with representations of the unitary groups and the reduction of their Kronecker products. Following the presentation of Cartan's classification of semisimple algebras Dynkin diagrams are described. The book concludes with space-time groups - the Lorentz, Poincare and Liouville groups - and a derivation of the energy levels of the non-relativistic hydrogen atom in n space dimensions.

Author : D.H. Sattinger
Publisher : Springer Science & Business Media
Page : 218 pages
File Size : 34,48 MB
Release : 2013-11-11
Category : Mathematics
ISBN : 1475719108

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This book is intended as an introductory text on the subject of Lie groups and algebras and their role in various fields of mathematics and physics. It is written by and for researchers who are primarily analysts or physicists, not algebraists or geometers. Not that we have eschewed the algebraic and geo metric developments. But we wanted to present them in a concrete way and to show how the subject interacted with physics, geometry, and mechanics. These interactions are, of course, manifold; we have discussed many of them here-in particular, Riemannian geometry, elementary particle physics, sym metries of differential equations, completely integrable Hamiltonian systems, and spontaneous symmetry breaking. Much ofthe material we have treated is standard and widely available; but we have tried to steer a course between the descriptive approach such as found in Gilmore and Wybourne, and the abstract mathematical approach of Helgason or Jacobson. Gilmore and Wybourne address themselves to the physics community whereas Helgason and Jacobson address themselves to the mathematical community. This book is an attempt to synthesize the two points of view and address both audiences simultaneously. We wanted to present the subject in a way which is at once intuitive, geometric, applications oriented, mathematically rigorous, and accessible to students and researchers without an extensive background in physics, algebra, or geometry.

Author : Howard Georgi
Publisher : Westview Press
Page : 340 pages
File Size : 13,85 MB
Release : 1999-10-22
Category : Science
ISBN : 0738202339

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An exciting new edition of a classic text

Author : Robert Gilmore
Publisher : Courier Corporation
Page : 610 pages
File Size : 16,28 MB
Release : 2012-05-23
Category : Mathematics
ISBN : 0486131564

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This text introduces upper-level undergraduates to Lie group theory and physical applications. It further illustrates Lie group theory's role in several fields of physics. 1974 edition. Includes 75 figures and 17 tables, exercises and problems.

Author : Ashok Das
Publisher : World Scientific
Page : 358 pages
File Size : 35,57 MB
Release : 2014-09-03
Category : Science
ISBN : 9814603295

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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 : Josi A. de Azcárraga
Publisher : Cambridge University Press
Page : 480 pages
File Size : 35,38 MB
Release : 1998-08-06
Category : Mathematics
ISBN : 9780521597005

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A self-contained introduction to the cohomology theory of Lie groups and some of its applications in physics.

Author : Howard Georgi
Publisher : CRC Press
Page : 340 pages
File Size : 34,47 MB
Release : 2018-05-04
Category : Science
ISBN : 0429967764

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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 : Marián Fecko
Publisher : Cambridge University Press
Page : 11 pages
File Size : 33,44 MB
Release : 2006-10-12
Category : Science
ISBN : 1139458035

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Covering subjects including manifolds, tensor fields, spinors, and differential forms, this textbook introduces geometrical topics useful in modern theoretical physics and mathematics. It develops understanding through over 1000 short exercises, and is suitable for advanced undergraduate or graduate courses in physics, mathematics and engineering.