Quasiclassical and Quantum Systems of Angular Momentum. Part II. Quantum Mechanics on Lie Groups and Methods of Group Algebras

摘要

In Part I of this series we presented the general ideas of applyinggroup-algebraic methods for describing quantum systems. The treatment was therevery "ascetic" in that only the structure of a locally compact topologicalgroup was used. Below we explicitly make use of the Lie group structure. Basingon differential geometry enables one to introduce explicitly representation ofimportant physical quantities and formulate the general ideas of quasiclassicalrepresentation and classical analogy.