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New Hermite-polynomial-operator identities and their application in quantum squeezing

Fan Hong-Yi Zhan De-Hui Yu Wen-Jian Zhou Jun

New Hermite-polynomial-operator identities and their application in quantum squeezing

Fan Hong-Yi, Zhan De-Hui, Yu Wen-Jian, Zhou Jun
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  • Received Date:  28 July 2011
  • Accepted Date:  04 June 2012
  • Published Online:  05 June 2012

New Hermite-polynomial-operator identities and their application in quantum squeezing

  • 1. Department of Material Science and Engineering, University of Science and Technology of China, Hefei 230026, China
Fund Project:  Project supported by the National Natural Science Foundation of China (Grant No.10874174) and the Specialized Research Fund for the Doctoral Program of Higher Education of China (Grant No. 20070358009).

Abstract: By introducing the Hermite-polynomial-operator Hn(X), where X is the coordinate operator (or the quadrature operator in quantum optics theory), and combining the technique of integration within an ordered product of operators, we derive some new operator identities about quantum squeezing, which are useful for studying the squeezed number state.

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