A duality in classical and quantum mechanics: General results
General Physics
2021-02-02 v3
Abstract
We reveal a duality in classical and quantum mechanics. Dual systems are related by duality transforms. All mechanical systems that are dual to each other form a duality family. In a duality family, once a system is solved, all other potentials are solved by the dual transform. That is, in a duality family, we only need to solve one system.
Cite
@article{arxiv.1909.01089,
title = {A duality in classical and quantum mechanics: General results},
author = {Wen-Du Li and Wu-Sheng Dai},
journal= {arXiv preprint arXiv:1909.01089},
year = {2021}
}