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Solution to Operator Fredholm Equation in Bipartite Entangled State Representation and Its Applications
Authors:FAN Hong-Yi  WANG Ji-Suo  
Affiliation:1. Department of Physics, Shanghai Jiao Tong University, Shanghai 200030, China;2. Department of Material Science and Engineering, University of Science and Technology of China, Hefei 230026, China;3. Department of Physics, Liaocheng University, Liaocheng 252059, China
Abstract:
Based on the bipartite entangled state representation and using the technique of integration within an ordered product (IWOP) of operators we construct the corresponding operator Fredholm equations and then derive their solutions.As its application we deduce some new bosonic operator identities and new relations about the two-variable Hermite polynomials.
Keywords:operator Fredholm equation   bipartite entangled state
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