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Wavelet transform of odd- and even-binomial states

Song Jun Xu Ye-Jun Fan Hong-Yi

Wavelet transform of odd- and even-binomial states

Song Jun, Xu Ye-Jun, Fan Hong-Yi
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  • Abstract views:  1826
  • PDF Downloads:  569
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Publishing process
  • Received Date:  25 July 2010
  • Accepted Date:  22 March 2011
  • Published Online:  05 April 2011

Wavelet transform of odd- and even-binomial states

  • 1. Department of Material and Chemical Engineering, West Anhui University, Lu'an 237012, China;
  • 2. Department of Material Science and Engineering, University of Science and Technology of China, Hefei 230026, China

Abstract: 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.

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