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

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

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 …