GROUP THEORY FOR HIGH ENERGY PHYSICISTS

Subject ISBN Author Publisher Number of Pages Title Year Price
PHYSICS 9781466510630 Mohammad Saleem, Muhammad Rafique CRC India 230 GROUP THEORY FOR HIGH ENERGY PHYSICISTS 2016 Rs. 800/-
Author: Mohammad Saleem, Muhammad Rafique
Description: The book introduces the concept of a group and the characteristics that are imperative for developing group theory as applied to high energy physics. With a focus on continuous groups, the text analyzes the root structure of important groups and obtains the weights of various representations of these groups.
Table of Content: * Elements of Group Theory * Definition of a Group * Some Characteristics of Group Elements * Permutation Groups * Multiplication Table Subgroups * Power of an Element of a Group * Cyclic Groups * Cosets * Conjugate Elements and Conjugate Classes * Conjugate Subgroups * Normal Subgroups * Centre of a Group * Factor Group * Mapping * Homomorphism * Kernel * Isomorphism * Direct Product of Groups * Direct Product of Subgroups* Group Representations * Linear Vector Spaces * Linearly Independent Vectors * Basic Vectors * Operators * Unitary and Hilbert Vector Spaces * Matrix Representative of a Linear Operator * Change of Basis and Matrix Representative of a Linear Operator * Group Representations * Equivalent and Unitary Representations * Reducible and Irreducible Representations * Complex Conjugate and Adjoint Representations * Construction of Representations by Addition * Analysis of Representations * Irreducible Invariant Subspaces* Matrix Representations and Invariant Subspaces * Product Representations * Continuous Groups * Definition of a Continuous Group * Groups of Linear Transformations * Order of a Group of Transformations * Lie Groups * Generators of Lie Groups * Real Orthogonal Group in 2 Dimensions: O(2) * Generators of SU (2) * Generators of SU (3) * Generators and Parameterisation of a Group * Matrix Representatives of Generators * Structure Constants * Rank of a Lie Group * Lie Algebras * Commutation Relations between the Generators of a Semi-Simple Lie Group * Properties of the Roots * Structure Constants Náâ* Classification of Simple Groups * Roots of SU (2) * Roots of SU (3) * Numerical Values of Structure Constants of SU (3) * Weights of a Representation * Computation of the Highest Weight of any Irreducible Representation of SU (3) * Dimension of any Irreducible Representation of SU (n) * Computation of Weights of an Irreducible Representation of SU (3) * Weights of the Irreducible Representation D8 (1,1) of SU(3) * Weight Diagrams * Decomposition of a Product of Two Irreducible Representations * Symmetry, Lie Groups, and Physics * Symmetry * Casimir Operators * Symmetry Group and Unitary Symmetry * Symmetry and Physics * Group Theory and Elementary Particles

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