Open AccessNew Hermite-polynomial-operator identities and their application in quantum squeezing
Author(s) -
Hong-Yi Fan,
Zhan De-Hui,
Weihua Yu,
Zhou Jun
Publication year - 2012
Publication title -
wuli xuebao
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.