Potentials versus Geometry
Quantum Physics
2021-01-05 v1 Mathematical Physics
math.MP
Abstract
We discuss some equivalence relations between the non-relativistic quantum mechanics for particles subjected to potentials and for particles moving freely on background geometries. In particular, we illustrate how selected geometries can be used to regularize singular potentials.
Cite
@article{arxiv.2101.01107,
title = {Potentials versus Geometry},
author = {T. Curtright and S. Subedi},
journal= {arXiv preprint arXiv:2101.01107},
year = {2021}
}