Wave front set of solutions to Schrödinger equations with time-dependent magnetic fields

arXiv (Cornell University) 2026 Preprint Open access

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Authors: Fumihito Abe, Ryo Muramatsu
DOI: 10.48550/arxiv.2602.10741
Cited by: 0

Abstract

In this paper, we determine the wave front set of solutions to the Schrödinger equation with time-dependent magnetic fields. We considered time-dependent and `not so small' magnetic fields through the method using the wave packet transform established by K. Kato, M. Kobayashi and S. Ito. Furthermore, we checked that the fundamental solution of the Schrödinger equation in a spatially decaying magnetic field has no singularities as a consequence of our result.

Fields of Study & Subjects

Advanced Mathematical Physics Problems Mathematical and Theoretical Analysis Spectral Theory in Mathematical Physics

Publication details

Journal / source
arXiv (Cornell University)
Publication date
11 February 2026
Language
EN
Document type
Preprint