The behavior of the zeros of analytic functions of finite quantum systems with physical Hamiltonians
Abstract
The paper contains an investigation of the behavior of the Zeros of analytic theta functions. We have considered briefly an analytic representation of finite quantum systems ZN. We note that analytic functions on a torus have exactly N zeros. A brief introduction to the zeros of analytic functions and their time evolution is given. We discuss the periodic finite quantum systems. Then we introduce the time evolution of finite quantum systems with the evolution operators which reflect physical signicance. The general ideas are demonstrated with several examples.
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