Wave front set of solutions to Schr?dinger equations with perturbed harmonic oscillators
Wave front set of solutions to Schr?dinger equations with perturbed harmonic oscillators
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具有扰动谐振子的薛定谔方程的波前解集
DOI：
10.1016/j.jmaa.2021.125821
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发表时间：
2022
影响因子：
1.3
通讯作者：
Kato Keiichi
中科院分区：
文献类型：
--
作者：
Ito Shingo;Kato Keiichi
本文利用Kato，小林和Ito（2012）提出的谐振子薛定谔演化算符的表示，通过波包变换，确定了具有次二次扰动的谐振子薛定谔方程解的波前集.在2011年和2014年的论文中，作者研究了具有自由粒子和谐振子的薛定谔方程和具有次二次势的薛定谔方程的波前集。
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 introduced in Kato, Kobayashi and Ito (2012) via the wave packet transform. In the previous paper (2011, 2014), the authors have studied the wave front sets for Schrödinger equations with a free particle and a harmonic oscillator and Schrödinger equations with sub-quadratic potential.