Entangled state representation for deriving new operator identities regarding to two-variable Hermite polynomial

Details Entangled state representation for deriving new operator identities regarding to two-variable Hermite polynomial Entangled state representation for deriving new operator identities regarding to two-variable Hermite polynomial

2010-11-27

arxiv.org/abs/1011.5943v1

Physics

Quantum Physics

7 pages, Submitted to JMP

Scientific paper

In this paper, by virtue of the entangled state representation we concisely derive some new operator identities regarding to two-variable Hermite polynomial (TVHP). By them and the technique of integration within an ordered product (IWOP) of operators we further derive new generating function formulas of TVHP. They are useful in quantum optical theoretical calculations. It is seen from this work that by combining the IWOP technique and quantum mechanical representations one can derive some new integration formulas even without really performing the integration.

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