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Remark on wave front sets of solutions to Schrödinger equation of a free particle and a harmonic oscillator

Keiichi Kato, Masaharu Kobayashi, Shingo Ito

SUT Journal of Mathematics · 2011 · 33 citations · 15 references

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Abstract

In this paper, we determine the wave front sets of solutions to the Schrödinger equations of a free particle and of a harmonic oscillator by using the representation of the Schrödinger evolution operator of a free particle introduced by Kato, Kobayashi and Ito (2011) and a new representation of the evolution operator of a harmonic oscillator via wave packet transform (short time Fourier transform).

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