Relativistic two-particle equations with superposition of delta-shell potentials: scattering and bound states
Mathematical Physics
2013-12-09 v1 math.MP
Quantum Physics
Abstract
Exact solutions of two-particle relativistic equations of quantum field theory describing the scattering -states and the bound -states are found in the cases of delta-shell potential and superposition of delta-shell potentials. Some properties of obtained relativistic wave functions, scattering amplitudes and quantization conditions are investigated. The resonance character of scattering processes is demonstrated by the behavior of amplitudes. It is shown that the non-relativistic limits of these relativistic values coincide with respective non-relativistic ones obtained from the Schr\"{o}dinger equation.
Keywords
Cite
@article{arxiv.1312.1902,
title = {Relativistic two-particle equations with superposition of delta-shell potentials: scattering and bound states},
author = {Valery Kapshai and Yury Grishechkin},
journal= {arXiv preprint arXiv:1312.1902},
year = {2013}
}