### On the Wigner transform of solutions to the Schrodinger equation

#### Abstract

In this paper we use theWigner transform to study properties of solutions to the Schr¨odinger equation. In particular, we present an elementary proof of the time decay inequalities for the free particle and harmonic oscillator. Furthermore, we estimate certain localized integral quantities in phase space, involving the Wigner transform of solutions to the Schr¨odinger equation.

#### Full Text:

PDFDOI: http://dx.doi.org/10.11606/issn.2316-9028.v2i1p85-97

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