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

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

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

Author(s) -

Fan Hong-Yi,

De-Hui Zhan,

Wen-Jian Yu,

Jun Zhou

Publication year - 2012

Publication title -

acta physica sinica

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.199

H-Index - 47

ISSN - 1000-3290

DOI - 10.7498/aps.61.110302

Subject(s) - ladder operator , hermite polynomials , displacement operator , operator (biology) , polynomial , squeezed coherent state , quantum optics , quantum , physics , quantum mechanics , mathematics , compact operator , mathematical analysis , coherent states , computer science , extension (predicate logic) , biochemistry , chemistry , repressor , transcription factor , gene , programming language

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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