Schrödinger like equation for wavelets
Arturo Zúñiga-Segundo, H. M. Moya-Cessa, Francisco Soto‐Eguibar · AIP Advances · 2016
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.