Klein-Gordon particles in mixed vector-scalar inversely linear potentials
High Energy Physics - Theory
2015-06-26 v2 Quantum Physics
Abstract
The problem of a spinless particle subject to a general mixing of vector and scalar inversely linear potentials in a two-dimensional world is analyzed. Exact bounded solutions are found in closed form by imposing boundary conditions on the eigenfunctions which ensure that the effective Hamiltonian is Hermitian for all the points of the space. The nonrelativistic limit of our results adds a new support to the conclusion that even-parity solutions to the nonrelativistic one-dimensional hydrogen atom do not exist.
Cite
@article{arxiv.hep-th/0502201,
title = {Klein-Gordon particles in mixed vector-scalar inversely linear potentials},
author = {Antonio S. de Castro},
journal= {arXiv preprint arXiv:hep-th/0502201},
year = {2015}
}
Comments
17 pages, 5 figures