Open AccessWavelet transform of odd- and even-binomial states
Author(s) -
Jun Song,
Ye-Jun Xu,
Hong-Yi Fan
Publication year - 2011
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.60.084208
Subject(s) - wavelet , wavelet transform , discrete wavelet transform , wavelet packet decomposition , mathematics , stationary wavelet transform , harmonic wavelet transform , mathematical analysis , physics , statistical physics , computer science , artificial intelligence
In the context of quantum mechanics the classical wavelet transform of a function f with the mother wavelet can be recast into a matrix element of the squeezing-displacing operator U(,s) as 〈|U(,s) |f〉. The technique of integral within an ordered product of operators is used to support this theory. Based on this, wavelet transforms are done for even- and odd-binomial states, and the corresponding numerical calculation leads to the spectrum of wavelet transform, which is helpful for recognizing the difference between even- and odd-states.