Klein-Gordon equation in $q$-deformed Euclidean space
Mathematical Physics
2022-01-05 v1 math.MP
Abstract
We introduce -versions of the Klein-Gordon equation in the three-dimensional -deformed Euclidean space. We determine plane wave solutions to our -deformed Klein-Gordon equations. We show that these plane wave solutions form a complete orthogonal system. We discuss the propagators of our -deformed Klein-Gordon equations. We derive continuity equations for the charge density, the energy density, and the momentum density of a -deformed spin-zero particle.
Cite
@article{arxiv.2201.01292,
title = {Klein-Gordon equation in $q$-deformed Euclidean space},
author = {Hartmut Wachter},
journal= {arXiv preprint arXiv:2201.01292},
year = {2022}
}
Comments
44 pages, 4 figures, the appendix contains material from previous articles. arXiv admin note: text overlap with arXiv:2010.08826, arXiv:2103.03356