Energy Stableness for Schr\"{o}dinger Operators with Time-Dependent Potentials
Mathematical Physics
2019-10-29 v2 math.MP
Abstract
In this paper, we prove the energy stable property for time-dependent (generalized) Schr\"{o}dinger operators by using Hardy inequality. Such property acts very important roles in quantum scattering theory and nonlinear problem. As an application, we prove Sobolev type inequality.
Cite
@article{arxiv.1910.11551,
title = {Energy Stableness for Schr\"{o}dinger Operators with Time-Dependent Potentials},
author = {Masaki Kawamoto},
journal= {arXiv preprint arXiv:1910.11551},
year = {2019}
}