Conservation laws for a $q$-deformed nonrelativistic particle
Quantum Algebra
2021-03-08 v1 Mathematical Physics
math.MP
Quantum Physics
Abstract
We derive -versions of Green's theorem from the Leibniz rules of partial derivatives for the -deformed Euclidean space. Using these results and the Schr\"{o}dinger equations for a -deformed nonrelativistic particle, we derive continuity equations for the probability density, the energy density, and the momentum density of a -deformed nonrelativistic particle.
Cite
@article{arxiv.2103.03356,
title = {Conservation laws for a $q$-deformed nonrelativistic particle},
author = {Hartmut Wachter},
journal= {arXiv preprint arXiv:2103.03356},
year = {2021}
}
Comments
34 pages. arXiv admin note: text overlap with arXiv:2010.08826