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Open Quantum Systems Decoherence

Schrödinger Models for Solutions of the Bethe-Salpeter Equation in Minkowski Space. II. Fermionic Bound-State Constituents

arXiv
Authors: Richard L. Hall, Wolfgang Lucha

Year

2014

Paper ID

47892

Status

Preprint

Abstract Read

~2 min

Abstract Words

88

Citations

N/A

Abstract

In view of the obstacles encountered in any attempts to solve the Minkowski-space Bethe-Salpeter equation for bound states of two fermions, we study the possibility to model the bound-state features, at least at a qualitative level, by a Schrödinger description. Such a nonrelativistic potential model can be constructed by applying, to any given Bethe-Salpeter spectral data, "geometric spectral inversion" in its recently extended form, which tolerates also singular potentials. This leads to the adaptation of explicit models that provide an overview accounting for the Bethe-Salpeter formalism's complexities.

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  • In view of the obstacles encountered in any attempts to solve the Minkowski-space Bethe-Salpeter equation for bound states of two fermions, we study the possibility to model...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1408.6330 [2] arXiv https://arxiv.org/abs/1408.6330 [3] Publisher https://arxiv.org/abs/1408.6330

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