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A new quantum mechanical photon counting distribution formula
Authors:Yuan Hong-Chun  Fan Hong-Yi  Hu Li-Yun
Affiliation:College of Optoelectronic Engineering, Changzhou Institute of Technology, Changzhou 213002, China;Department of Physics, Shanghai Jiao Tong University, Shanghai 200030, China;College of Physics and Communication Electronics, Jiangxi Normal University, Nanchang 330022, China
Abstract:By virtue of the density operator's P-representation in the coherent state representation, we derive a new quantum mechanical photon counting distribution formula. As its application, we calculate photon counting distributions for some given light fields. It is found that the pure squeezed state's photon counting distribution is related to the Legendre function, which is a new result.
Keywords:P-representation  photon counting distribution  Laguerre polynomial  Legendre polynomial
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