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Wave function for the squeezed atomic coherent state in entangledstate representation and some of its applications
Authors:Wang Ji-Suo  MengXiang-Guo and Liang Bao-Long
Institution:College of Physics and Engineering, Qufu Normal University, Qufu 273165, China;Department of Physics, Liaocheng University, Liaocheng 252059, China; Department of Physics, Liaocheng University, Liaocheng 252059, China
Abstract:Based on the Einstein, Podolsky, and Rosen (EPR) entangled state representation, this paper introduces the wave function for the squeezed atomic coherent state (SACS), which turns out to be just proportional to a single-variable ordinary Hermite polynomial of order 2j. As important applications of the wave function, the Wigner function of the SACS and its marginal distribution are obtained and the eigenproblems of some Hamiltonians for the generalized angular momentum system are solved.
Keywords:squeezed atomic coherent state  entangled state representation  Wigner function  eigenvalue and eigenstate
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