Open AccessBinomial theorems related to two-variable Hermite polynomials and its application in quantum optics
Author(s) -
Hong-Yi Fan,
Lou Sen-Yue,
Xiao-Yin Pan,
Da Rong Cheng
Publication year - 2014
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.63.110304
Subject(s) - hermite polynomials , operator (biology) , hermite interpolation , mathematics , variable (mathematics) , binomial (polynomial) , argument (complex analysis) , polynomial , algebra over a field , pure mathematics , mathematical analysis , biochemistry , chemistry , repressor , transcription factor , gene , statistics
We propose an operator Hermite polynomial method, namely, to replace the special functions' argument by quantum mechanical operator, and in this way we have derived two binomial theorems related to two-variable Hermite polynomials. This method is concise and may be of help in deducing many operator identities, which may become a new branch in mathematical physics theory.