Schrödinger like equation for wavelets
Author(s) -
Arturo Zúñiga-Segundo,
H. M. Moya-Cessa,
Francisco SotoEguibar
Publication year - 2016
Publication title -
aip advances
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.421
H-Index - 58
ISSN - 2158-3226
DOI - 10.1063/1.4939813
Subject(s) - transformation (genetics) , wigner distribution function , phase space , wavelet , schrödinger equation , function (biology) , representation (politics) , phase (matter) , space (punctuation) , mathematical analysis , mathematical physics , wave function , mathematics , wave equation , physics , quantum mechanics , computer science , quantum , biochemistry , chemistry , artificial intelligence , evolutionary biology , biology , politics , political science , law , gene , operating system
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
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