Lie Groups For Pedestrians

Author: Harry J. Lipkin
Editor: Courier Corporation
ISBN: 0486137880
Size: 18,59 MB
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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 Lie Algebras And Some Of Their Applications

Author: Robert Gilmore
Editor: Courier Corporation
ISBN: 0486131564
Size: 14,62 MB
Format: PDF
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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.

Lie Groups Physics And Geometry

Author: Robert Gilmore
Editor: Cambridge University Press
ISBN: 113946907X
Size: 17,79 MB
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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.

Lie Groups And Lie Algebras A Physicist S Perspective

Author: Adam M. Bincer
Editor: Oxford University Press
ISBN: 0199662924
Size: 14,82 MB
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This book is intended for graduate students in Physics, especially Elementary Particle Physics. It gives an introduction to group theory for physicists with a focus on Lie groups and Lie algebras.

Lie Algebras In Particle Physics

Author: Howard Georgi
Editor: CRC Press
ISBN: 0429967764
Size: 20,67 MB
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Howard Georgi is the co-inventor (with Sheldon Glashow) of the SU(5) theory. This extensively revised and updated edition of his classic text makes the theory of Lie groups accessible to graduate students, while offering a perspective on the way in which knowledge of such groups can provide an insight into the development of unified theories of strong, weak, and electromagnetic interactions.

Basic Lie Theory

Author: Hossein Abbaspour
Editor: World Scientific
ISBN: 9812706984
Size: 14,59 MB
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This volume provides a comprehensive treatment of basic Lie theory, primarily directed toward graduate study. The text is ideal for a full graduate course in Lie groups and Lie algebras. However, the book is also very usable for a variety of other courses: a one-semester course in Lie algebras, or on Haar measure and its applications, for advanced undergraduates; or as the text for one-semester graduate courses in Lie groups and symmetric spaces of non-compact type, or in lattices in Lie groups. The material is complete and detailed enough to be used for self-study; it can also serve as a reference work for professional mathematicians working in other areas. The book's utility for such a varied readership is enhanced by a diagram showing the interdependence of the separate chapters so that individual chapters and the material they depend upon can be selected, while others can be skipped.The book incorporates many of the most significant discoveries and pioneering contributions of the masters of the subject: Borel, Cartan, Chevalley, Iwasawa, Mostow, Siegel, and Weyl, among others.

Classical Groups For Physicists

Author: Brian Garner Wybourne
Editor:
ISBN: 9780317556346
Size: 15,49 MB
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Group Theory For Physicists

Author: Zhong-Qi Ma
Editor: World Scientific Publishing Company
ISBN: 9813101482
Size: 10,72 MB
Format: PDF, Docs
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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.

Lie Groups And Lie Algebras For Physicists

Author: Das Ashok
Editor: World Scientific
ISBN: 9814603295
Size: 14,84 MB
Format: PDF, ePub
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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.

Symmetry

Author: R. McWeeny
Editor: Elsevier
ISBN: 1483226247
Size: 16,28 MB
Format: PDF, Mobi
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Symmetry: An Introduction to Group Theory and its Application is an eight-chapter text that covers the fundamental bases, the development of the theoretical and experimental aspects of the group theory. Chapter 1 deals with the elementary concepts and definitions, while Chapter 2 provides the necessary theory of vector spaces. Chapters 3 and 4 are devoted to an opportunity of actually working with groups and representations until the ideas already introduced are fully assimilated. Chapter 5 looks into the more formal theory of irreducible representations, while Chapter 6 is concerned largely with quadratic forms, illustrated by applications to crystal properties and to molecular vibrations. Chapter 7 surveys the symmetry properties of functions, with special emphasis on the eigenvalue equation in quantum mechanics. Chapter 8 covers more advanced applications, including the detailed analysis of tensor properties and tensor operators. This book is of great value to mathematicians, and math teachers and students.