Quasiclassical and Quantum Systems of Angular Momentum. Part II. Quantum Mehanics on Lie Groups and Meyhods of Group Algebras

Abstract

In Part I of this series we have presented the general ideas of applying group-algebraic methods for describing quantum systems. The treatment there was very "ascetic" in that only the structure of a locally compact topological group was used. Below we explicitly make use of the Lie group structure. Relying on differential geometry one is able to introduce explicitly representation of important physical quantities and to formulate the general ideas of quasiclassical representation and classical analogy.