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Open Quantum Systems Decoherence

Relativistic two-particle equations with superposition of delta-shell potentials: scattering and bound states

arXiv
Authors: Valery Kapshai, Yury Grishechkin

Year

2013

Paper ID

31554

Status

Preprint

Abstract Read

~2 min

Abstract Words

82

Citations

0

Abstract

Exact solutions of two-particle relativistic equations of quantum field theory describing the scattering s-states and the bound s-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 Schrödinger equation.

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  • Exact solutions of two-particle relativistic equations of quantum field theory describing the scattering s-states and the bound s-states are found in the cases of delta-shell...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1312.1902 [2] arXiv https://arxiv.org/abs/1312.1902 [3] Publisher https://arxiv.org/abs/1312.1902

Local Citation Graph (Related-Paper Links)

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External citation index: OpenAlex citation signal • updated 2026-06-13 20:47:30

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