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Lie Groups for Pedestrians

Lie Groups for Pedestrians PDF Author: Harry J. Lipkin
Publisher: Courier Corporation
ISBN: 0486137880
Category : Science
Languages : en
Pages : 192

Book Description
This book shows how well-known methods of angular momentum algebra can be extended to treat other Lie groups. Chapters cover isospin, the three-dimensional harmonic oscillator, Young diagrams, more. 1966 edition.

Lie Groups for Pedestrians. Second Edition

Lie Groups for Pedestrians. Second Edition PDF Author: Harry J.. Lipkin
Publisher:
ISBN:
Category :
Languages : en
Pages : 182

Book Description


Noncompact Lie Groups and Some of Their Applications

Noncompact Lie Groups and Some of Their Applications PDF Author: Elizabeth A. Tanner
Publisher: Springer Science & Business Media
ISBN: 9401110786
Category : Mathematics
Languages : en
Pages : 512

Book Description
During the past two decades representations of noncompact Lie groups and Lie algebras have been studied extensively, and their application to other branches of mathematics and to physical sciences has increased enormously. Several theorems which were proved in the abstract now carry definite mathematical and physical sig nificance. Several physical observations which were not understood before are now explained in terms of models based on new group-theoretical structures such as dy namical groups and Lie supergroups. The workshop was designed to bring together those mathematicians and mathematical physicists who are actively working in this broad spectrum of research and to provide them with the opportunity to present their recent results and to discuss the challenges facing them in the many problems that remain. The objective of the workshop was indeed well achieved. This book contains 31 lectures presented by invited participants attending the NATO Advanced Research Workshop held in San Antonio, Texas, during the week of January 3-8, 1993. The introductory article by the editors provides a brief review of the concepts underlying these lectures (cited by author [*]) and mentions some of their applications. The articles in the book are grouped under the following general headings: Lie groups and Lie algebras, Lie superalgebras and Lie supergroups, and Quantum groups, and are arranged in the order in which they are cited in the introductory article. We are very thankful to Dr.

Lie Groups, Lie Algebras, and Some of Their Applications

Lie Groups, Lie Algebras, and Some of Their Applications PDF Author: Robert Gilmore
Publisher: Courier Corporation
ISBN: 0486131564
Category : Mathematics
Languages : en
Pages : 608

Book Description
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.

Lie Algebras and Applications

Lie Algebras and Applications PDF Author: Francesco Iachello
Publisher: Springer
ISBN: 3662444941
Category : Science
Languages : en
Pages : 272

Book Description
This course-based primer provides an introduction to Lie algebras and some of their applications to the spectroscopy of molecules, atoms, nuclei and hadrons. In the first part, it concisely presents the basic concepts of Lie algebras, their representations and their invariants. The second part includes a description of how Lie algebras are used in practice in the treatment of bosonic and fermionic systems. Physical applications considered include rotations and vibrations of molecules (vibron model), collective modes in nuclei (interacting boson model), the atomic shell model, the nuclear shell model, and the quark model of hadrons. One of the key concepts in the application of Lie algebraic methods in physics, that of spectrum generating algebras and their associated dynamic symmetries, is also discussed. The book highlights a number of examples that help to illustrate the abstract algebraic definitions and includes 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. For this new edition, the text has been carefully revised and expanded; in particular, a new chapter has been added on the deformation and contraction of Lie algebras. From the reviews of the first edition: "Iachello has written a pedagogical and straightforward presentation of Lie algebras [...]. It is a great text to accompany a course on Lie algebras and their physical applications." (Marc de Montigny, Mathematical Reviews, Issue, 2007 i) "This book [...] written by one of the leading experts in the field [...] will certainly be of great use for students or specialists that want to refresh their knowledge on Lie algebras applied to physics. [...] An excellent reference for those interested in acquiring practical experience [...] and leaving the embarrassing theoretical presentations aside." (Rutwig Campoamor-Stursberg, Zentralblatt MATH, Vol. 1156, 2009)

GROUP 24

GROUP 24 PDF Author: J.P Gazeau
Publisher: CRC Press
ISBN: 1482269074
Category : Mathematics
Languages : en
Pages : 968

Book Description
One of the most enduring elements in theoretical physics has been group theory. GROUP 24: Physical and Mathematical Aspects of Symmetries provides an important selection of informative articles describing recent advances in the field. The applications of group theory presented in this book deal not only with the traditional fields of physics, but a

Geometrical Methods of Mathematical Physics

Geometrical Methods of Mathematical Physics PDF Author: Bernard F. Schutz
Publisher: Cambridge University Press
ISBN: 9780521298872
Category : Mathematics
Languages : en
Pages : 250

Book Description
For physicists and applied mathematicians working in the fields of relativity and cosmology, high-energy physics and field theory, thermodynamics, fluid dynamics and mechanics. This book provides an introduction to the concepts and techniques of modern differential theory, particularly Lie groups, Lie forms and differential forms.

Group Theory For Physicists

Group Theory For Physicists PDF Author: Zhong-qi Ma
Publisher: World Scientific Publishing Company
ISBN: 9813101482
Category : Science
Languages : en
Pages : 512

Book Description
Newer Edition Available: Group Theory for Physicists (2nd Edition)This textbook explains the fundamental concepts and techniques of group theory by making use of language familiar to physicists. Application methods to physics are emphasized. New materials drawn from the teaching and research experience of the author are included. This book can be used by graduate students and young researchers in physics, especially theoretical physics. It is also suitable for some graduate students in theoretical chemistry.

Problems and Solutions in Group Theory for Physicists

Problems and Solutions in Group Theory for Physicists PDF Author: Zhong-Qi Ma
Publisher: World Scientific
ISBN: 9814482765
Category : Mathematics
Languages : en
Pages : 476

Book Description
' This book is aimed at graduate students in physics who are studying group theory and its application to physics. It contains a short explanation of the fundamental knowledge and method, and the fundamental exercises for the method, as well as some important conclusions in group theory. The book can be used by graduate students and young researchers in physics, especially theoretical physics. It is also suitable for some graduate students in theoretical chemistry. Contents:Review on Linear AlgebrasGroup and Its SubsetsTheory of RepresentationsThree-Dimensional Rotation GroupSymmetry of CrystalsPermutation GroupsLie Groups and Lie AlgebrasUnitary GroupsReal Orthogonal GroupsThe Symplectic Groups Keywords:Group Theory;Problems and Solutions;Exercises;Theory of Angular Momentum;Finite Group;Symmetry Group of Polyhedron;Space Groups;Permutation Group;Young Operator;Lie Group;Lie AlgebraReviews:“The authors present an interesting book explaining group theory in terms of physics, closing an often observed gap in the literature between abstract mathematical theory and physical applications … It is self-contained as much as is possible. Many examples and exercises, including solutions, allow the reader to become more familiar with the subject.”Mathematical Reviews '

Atomic Structure

Atomic Structure PDF Author: E. U. Condon
Publisher: CUP Archive
ISBN: 9780521298933
Category : Science
Languages : en
Pages : 658

Book Description
The late Professor Condon and Halis Odabşi collaborate to produce an integrated account of the electron structure of atoms.

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