On the Wigner transform of solutions to the Schrodinger equation

Autores

  • 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

Resumo

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.

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Publicado

2008-06-30

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Como Citar

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