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June 2011 Remark on wave front sets of solutions to Schrödinger equation of a free particle and a harmonic oscillator
Keiichi Kato, Masaharu Kobayashi, Shingo Ito
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SUT J. Math. 47(2): 175-183 (June 2011). DOI: 10.55937/sut/1328712681

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).

Citation

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Keiichi Kato. Masaharu Kobayashi. Shingo Ito. "Remark on wave front sets of solutions to Schrödinger equation of a free particle and a harmonic oscillator." SUT J. Math. 47 (2) 175 - 183, June 2011. https://doi.org/10.55937/sut/1328712681

Information

Received: 18 April 2011; Revised: 17 October 2011; Published: June 2011
First available in Project Euclid: 11 June 2022

Digital Object Identifier: 10.55937/sut/1328712681

Subjects:
Primary: 35A18 , 35Q41

Keywords: Schrödinger equation , wave front set , wave packet transform

Rights: Copyright © 2011 Tokyo University of Science

Vol.47 • No. 2 • June 2011
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