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Group Theory in Physics: An introduction (Techniques of Physics Series)

جلد کتاب Group Theory in Physics: An introduction (Techniques of Physics Series)

معرفی کتاب «Group Theory in Physics: An introduction (Techniques of Physics Series)» نوشتهٔ John Hayes و J.F. Cornwell (Auth.)، منتشرشده توسط نشر Academic Press در سال 1997. این کتاب در فرمت pdf، زبان انگلیسی ارائه شده است.

Content: Preface , Pages vii-viii Chapter 1 - The Basic Framework , Pages 1-18 Chapter 2 - The Structure of Groups , Pages 19-34 Chapter 3 - Lie Groups , Pages 35-46 Chapter 4 - Representations of Groups — Principal Ideas , Pages 47-63 Chapter 5 - Representations of Groups — Developments , Pages 65-91 Chapter 6 - Group Theory in Quantum Mechanical Calculations , Pages 93-102 Chapter 7 - Crystallographic Space Groups , Pages 103-134 Chapter 8 - The Role of Lie Algebras , Pages 135-151 Chapter 9 - The Relationships between Lie Groups and Lie Algebras Explored , Pages 153-173 Chapter 10 - The Three-dimensional Rotation Groups , Pages 175-192 Chapter 11 - The Structure of Semi-simple Lie Algebras , Pages 193-234 Chapter 12 - Representations of Semi-simple Lie Algebras , Pages 235-254 Chapter 13 - Symmetry schemes for the elementary particles , Pages 255-268 Appendix A - Matrices , Pages 271-278 Appendix B - Vector Spaces , Pages 279-298 Appendix C - Character Tables for the Crystallographic Point Groups , Pages 299-318 Appendix D - Properties of the Classical Simple Complex Lie Algebras , Pages 319-326 References , Pages 327-333 Index , Pages 335-349 This book, an abridgment of Volumes I and II of the highly respected Group Theory in Physics, presents a carefully constructed introduction to group theory and its applications in physics. The book provides anintroduction to and description of the most important basic ideas and the role that they play in physical problems. The clearly written text contains many pertinent examples that illustrate the topics, even for those with no background in group theory.
This work presents important mathematical developments to theoretical physicists in a form that is easy to comprehend and appreciate. Finite groups, Lie groups, Lie algebras, semi-simple Lie algebras, crystallographic point groups and crystallographic space groups, electronic energy bands in solids, atomic physics, symmetry schemes for fundamental particles, and quantum mechanics are all covered in this compact new edition.

Key Features
* Covers both group theory and the theory of Lie algebras
* Includes studies of solid state physics, atomic physics, and fundamental particle physics
* Contains a comprehensive index
* Provides extensive examples This book, an abridgment of Volumes I and II of the highly respected Group Theory in Physics, presents a carefully constructed introduction to group theory and its applications in physics. The book provides anintroduction to and description of the most important basic ideas and the role that they play in physical problems. The clearly written text contains many pertinent examples that illustrate the topics, even for those with no background in group theory. This work presents important mathematical developments to theoretical physicists in a form that is easy to comprehend and appreciate. Finite groups, Lie groups, Lie algebras, semi-simple Lie algebras, crystallographic point groups and crystallographic space groups, electronic energy bands in solids, atomic physics, symmetry schemes for fundamental particles, and quantum mechanics are all covered in this compact new edition. Key Features\* Covers both group theory and the theory of Lie algebras\* Includes studies of solid state physics, atomic physics, and fundamental particle physics\* Contains a comprehensive index\* Provides extensive examples "Group Theory in Physics - An Introduction is an abridgement and revision of Volumes I and II of the author's previous three volume work Group Theory in Physics. It has been designed to provide a succinct introduction to the subject for advanced undergraduate and postgraduate students, and for others approaching the subject for the first time. It aims to present all the relevant important mathematical developments in a form that is easy for physicists to understand and appreciate." "The treatment starts with the basic concepts and is carried through to some of the most significant developments in atomic physics, electronics energy bands in solids and the theory of elementary particles. No prior knowledge of group theory is assumed, and for convenience, various relevant algebraic concepts are summarised in appendices."--Jacket The aim of this chapter is to introduce the idea of a group, to give some physically important examples, and then to indicate immediately how this notion arises naturally in physical problems, and how the related concept of a group representation lies at the heart of the quantum mechanical formulation.
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