AIP conference proceedings

Weyl Calculus in Phase Space and the Torres-Vega and Frederick Equation

Maurice A. de Gosson

Published Jan 1, 2006• 0 citations

Abstract

We show that the Schrödinger equation in phase space proposed by Torres‐Vega and Frederick is canonical in the sense that it is a natural consequence of Weyl calculus provided that one lets Heisenberg‐Weyl operators act on functions (or half‐densities) defined on phase space. We interpret our results in terms of deformation quantization.

DOI: 10.1063/1.2158732

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