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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  Liang Bao-Long
Affiliation:College of Physics and Engineering, Qufu Normal University, Qufu 273165, China;  Department of Physics, Liaocheng University, Liaocheng 252059, China
Abstract:Based on the Einstein, Podolsky, and Rosen (EPR) entangledstate representation, this paper introduces the wave function forthe squeezed atomic coherent state (SACS), which turns out to bejust proportional to a single-variable ordinary Hermite polynomialof order 2j. As important applications of the wave function,the Wigner function of the SACS and its marginal distribution areobtained and the eigenproblems of some Hamiltonians for thegeneralized angular momentum system are solved.
Keywords:squeezed atomic coherent state   entangled staterepresentation   Wigner function   eigenvalue andeigenstate
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