Öhrn Y. Elements of Molecular Symmetry

Wiley, 2000, 292 pages, ISBN: 0471363235Classical mechanics, one of the oldest branches of science, has undergone a long evolution, developing hand in hand with many areas of mathematics, including calculus, differential geometry, and the theory of Lie groups and Lie algebras. The modern formulations of Lagrangian and Hamiltonian mechanics, in the coordinate-free language of differential geometry, are elegant and general. They provide a unifying framework for many seemingly disparate physical systems, such as n-particle systems, rigid bodies, fluids and other continua, and electromagnetic and quantum systems.The Group Concept
Preliminaries about the Symmetric Group
Algebra Structure
Outer and Inner Direct Products
Subduced and Induced Representations
Point Groups
Character Tables of Some Point Groups
Connection to Quantum Chemistry
The Symmetric Group
Groups of Constants of Motion
Coupling of Identical Particles in a Field of Given Symmetry
Molecular Orbital Theory
Electron Correlation
Molecular Vibrations
Space Groups
Continuous Groups
Example of a Noncompact Group and Algebra