Title Statements
- Full title :Group and representation theory / J.D. Vergados, University of Ioannina, Ioannina, Greece.
Edition Statements
- Publication Date:2017
Publication Statements
- Publisher(s):World Scientific
- Place of Publication:New Jersey
- Language:eng
- Publication Date:2017
The Physical Object
- Description:1 online resource
Edition Identifiers
- ISBN:9789813202450, 9813202459
- oclc:on1020638947
- LC Classification:QA174.7.S96V47 2017
- Dewey Decimal:512.2
Table of Contents
Intro; Contents; Preface; 1. Elements of Group Theory; 1.1 Deflnitions; 1.2 Matrix groups; 1.2.1 The exponential of a matrix; 1.2.2 Determination of the independent parameters; 1.3 The structure constants; 1.4 The metric tensor and Casimir operators; 1.4.1 The metric tensor; 1.4.2 The Casimir operator; 1.5 Representations; 1.5.1 The fundamental representation; 1.5.1.1 The orthogonal groups; 1.5.1.2 The unimodular groups SU(n); 1.5.2 The adjoined representation; 1.6 More representations; 1.7 Irreducible representations; 1.8 Some further examples; 1.9 The proper orthogonal groups O(3) and O(4).
1.10 Realization of SO(4) = SO(3) SO(3) and some applications1.10.1 Application to classical mechanics; 1.10.2 Application to quantum mechanics; 1.11 The proper Lorentz transformations â#x80;#x94; The group SO(3; 1); 1.12 Symmetries and conservation laws â#x80;#x94; Noether's theorem; 1.12.1 Global transformations in classical physics; 1.12.2 Global transformations in quantum mechanics (in the Heisenberg picture); 1.12.3 Field theories â#x80;#x94; Scalar fields; 1.12.4 Field theory â#x80;#x94; Fermion fields; 1.13 Problems; 2. Study of the SU(2) and SO(3) Representations and Applications; 2.…
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