Wave front set of solutions to Schrödinger equations with perturbed harmonic oscillators

2019/08/22 by Keiichi Kato, Shingo Ito, Kato, Keiichi +1
Mathematics · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Mathematical Analysis and Transform Methods #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.1908.08358

openalex publication_date 2019/08/22 · openalex created_date 2019/08/29 · openalex updated_date 2026/07/28

Abstract

In this paper, we determine the wave front sets of solutions to Schrödinger equations of a harmonic oscillator with sub-quadratic perturbation by using the representation of the Schrödinger evolution operator of a harmonic oscillator via the wave packet transform.

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