Nonrelativistic one-particle problem on $q$-deformed Euclidean space
Quantum Physics
2021-02-09 v2 High Energy Physics - Theory
Abstract
We consider time-dependent Schr\"{o}dinger equations for a free nonrelativistic particle on the three-dimensional -deformed Euclidean space. We determine plane wave solutions to these Schr\"{o}dinger equations and show that they form a complete orthonormal system. We derive -deformed expressions for propagators of a nonrelativistic particle. Considerations about expectation values for position or momentum of a nonrelativistic particle conclude our studies.
Cite
@article{arxiv.2010.08826,
title = {Nonrelativistic one-particle problem on $q$-deformed Euclidean space},
author = {Hartmut Wachter},
journal= {arXiv preprint arXiv:2010.08826},
year = {2021}
}
Comments
34 pages, 5 Postscript figures, title has been changed, some typographical errors have been corrected, some passages in the text have been revised for better comprehensibility