New operator identities with regard to the two-variable Hermite polynomial by virtue of entangled state representation

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...

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Bibliographic Details
Published in:Chinese physics B 2013-06, Vol.22 (6), p.162-165
Main Author: 袁洪春 李恒梅 许雪芬
Format: Article
Language:English
Subjects:
Entangled states
Functions (mathematics)
Hermite polynomials
Mathematical analysis
Operators
Quantum mechanics
Representations
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Summary: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.
ISSN:1674-1056
2058-3834
1741-4199
DOI:10.1088/1674-1056/22/6/060301