Klein-Gordon particles in mixed vector-scalar inversely linear potentials

Details Klein-Gordon particles in mixed vector-scalar inversely linear potentials Klein-Gordon particles in mixed vector-scalar inversely linear potentials

2005-02-22

arxiv.org/abs/hep-th/0502201v2

Phys.Lett. A338 (2005) 81-89

Physics

High Energy Physics

High Energy Physics - Theory

17 pages, 5 figures

Scientific paper

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.

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