Schr\"odinger equation with singular position dependent mass
Analysis of PDEs
2023-02-22 v1
Abstract
We consider the Schr\"odinger equation with singular position dependent effective mass and prove that it is very weakly well posed. A uniqueness result is proved in an appropriate sense, moreover, we prove the consistency with the classical theory. In particular, this allows one to consider Delta-like or more singular masses.
Cite
@article{arxiv.2302.10194,
title = {Schr\"odinger equation with singular position dependent mass},
author = {Michael Ruzhansky and Mohammed Elamine Sebih and Niyaz Tokmagambetov},
journal= {arXiv preprint arXiv:2302.10194},
year = {2023}
}
Comments
arXiv admin note: text overlap with arXiv:2302.09314