On the Wigner transform of solutions to the Schrodinger equation

Authors

  • Diogo A. Gomes Instituto Superior Técnico de Portugal Departamento de Matemática
  • Jorge D. Silva Instituto Superior Técnico de Portugal Departamento de Matemática

DOI:

https://doi.org/10.11606/issn.2316-9028.v2i1p85-97

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.

Downloads

Download data is not yet available.

Downloads

Published

2008-06-30

Issue

Vol. 2 No. 1 (2008)

Section

Articles

How to Cite

On the Wigner transform of solutions to the Schrodinger equation. (2008). The São Paulo Journal of Mathematical Sciences, 2(1), 85-97. https://doi.org/10.11606/issn.2316-9028.v2i1p85-97