Research on quantum mechanical representations via the two-dimensional normal distribution function in statistics

Fan Hong-Yi · College Physics · 2011

Based on the two-dimensional normal distributions in statistics and the technique of integration within an ordered product of operators(IWOP),the explicit forms in the Fock space of some quantum representations are simply obtained such as coordinate representation,momentum representation,coordinate-momentum intermediate representation,and coherent representation.In addition,their corresponding completeness is also easily proved.

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