General Even and Odd Coherent States as Solutions of Discrete Cauchy Problems
نویسنده
چکیده
The explicit and exact solutions of the linear homogeneous difference equation with initial conditions (Cauchy problem) are constructed. The approach is quite general and relies on a novel and successful treatment of the linear recursion appropriately cast in matrix form. Our approach is exploited to solve the eigenvalues problem of a special set of non-Hermitian operators. A new class of generalized even and odd coherent states of a quantum harmonic oscillator are defined.
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تاریخ انتشار 2003