Spin Connections and Classification of Inequivalent Quantizations
نویسنده
چکیده
Quantum mechanics on a general configuration space was firstly studied by Dirac. His method is the base of the quantum investigation of constraint systems. Next, Mackey proposed another quantization method. He take a homogeneous space as the configuration space and he used the induced representation theory of group developed by Wigner. The interesting point of his study is to show that there exist many inequivalent quantizations for general configuration space cases and that Dirac’s method is one of them. But, Mackey’s method is not so general, because the configuration space is the homogeneous space. Then, we will study the inequivalent quantization problem from more general viewpoint.
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