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New operator identities with regard to the two-variable Hermite polynomial by virtue of entangled state representation |
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| Affiliation: | [1]College of Optoelectronic Engineering, Changzhou Institute of Technology, Changzhou 213002, China [2]School of Science, Changzhou Institute of Technology, Changzhou 213002, China [3]School of Mathematics and Physics, Jiangsu Teachers University of Technology, Changzhou 213001, China |
| Abstract: | By virtue of the entangled state representation we concisely derive some new operator identities with regard to the 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 the 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. |
| Keywords: | two-variable Hermite polynomial entangled state representation operator identities |
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