Schrödinger like equation for wavelets

An explicit phase space representation of the wave function is build based on a wavelet transformation. The wavelet transformation allows us to understand the relationship between s − ordered Wigner function, (or Wigner function when s = 0), and the Torres-Vega-Frederick’s wave functions. This relat...

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Bibliographic Details
Published in:AIP advances 2016-01, Vol.6 (1), p.015202-015202-8
Main Authors: Zúñiga-Segundo, A., Moya-Cessa, H. M., Soto-Eguibar, F.
Format: Article
Language:English
Subjects:
S waves
Schrodinger equation
Transformations (mathematics)
Wave functions
Wavelet transforms
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Summary:An explicit phase space representation of the wave function is build based on a wavelet transformation. The wavelet transformation allows us to understand the relationship between s − ordered Wigner function, (or Wigner function when s = 0), and the Torres-Vega-Frederick’s wave functions. This relationship is necessary to find a general solution of the Schrödinger equation in phase-space.
ISSN:2158-3226
2158-3226
DOI:10.1063/1.4939813