Bound states of scalar particles in the presence of a short range potential

Details Bound states of scalar particles in the presence of a short range potential Bound states of scalar particles in the presence of a short range potential

2005-07-26

arxiv.org/abs/math-ph/0507065v1

Mod.Phys.Lett. A20 (2005) 2245-2252

Physics

Mathematical Physics

To appear in Modern Physics Letters A

Scientific paper

10.1142/S0217732305017524

We analyze the behavior of the energy spectrum of the Klein-Gordon equation in the presence of a truncated hyperbolic tangent potential. From our analysis we obtain that, for some values of the potential there is embedding of the bound states into the negative energy continuum, showing that, in opposition to the general belief, relativistic scalar particles in one-dimensional short range potentials can exhibit resonant behavior and not only the Schiff-Snyder effect.

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