Schrödinger like equation for wavelets
Source abstract
Abstract
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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Research context
OpenAlex topics: Image and Signal Denoising Methods · Mathematical Analysis and Transform Methods · Seismic Imaging and Inversion Techniques
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Affiliations
Escuela Superior de Física y Matemáticas 1 Departamento de Física, , IPN Edificio 9 Unidad Profesional “Adolfo López Mateos,” 07738 Mexico D.F., Mexico
Instituto Nacional de Astrofísica, Óptica y Electrónica 2 , Calle Luis Enrique Erro No. 1, 72840 Sta. María Tonantzintla, Pue., Mexico
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