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December 2021 Estimates on modulation spaces for Schrödinger operators with first order magnetic fields
Ryo Muramatsu
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SUT J. Math. 57(2): 201-209 (December 2021). DOI: 10.55937/sut/1641859476

Abstract

In this paper, we give the estimate of the solutions to Schrödinger equation with vector potential on modulation spaces. We assume that vector potential $\mathbf{a}(t,x)$ is first degree polynomial with respect to $x$, and it corresponds to constant magnetic field or time-dependent magnetic field for physics.

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Ryo Muramatsu. "Estimates on modulation spaces for Schrödinger operators with first order magnetic fields." SUT J. Math. 57 (2) 201 - 209, December 2021. https://doi.org/10.55937/sut/1641859476

Information

Received: 24 June 2021; Published: December 2021
First available in Project Euclid: 21 April 2022

Digital Object Identifier: 10.55937/sut/1641859476

Subjects:
Primary: 35J10 , 35Q41

Keywords: constant magnetic field , modulation space , Schrödinger equation , time dependent magnetic field , wave packet transform

Rights: Copyright © 2021 Tokyo University of Science

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Vol.57 • No. 2 • December 2021
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