Non-local PT-symmetric potentials in the one-dimensional Dirac equation
Francesco Cannata, Alberto Ventura
TL;DR
This paper investigates the effects of non-local PT-symmetric potentials on the one-dimensional Dirac equation, analyzing bound and scattering states with numerical results for a Yamaguchi-type kernel inspired by nucleon interactions.
Contribution
It introduces a detailed Green function analysis of non-local PT-symmetric potentials in the Dirac equation, including numerical results for a specific kernel type.
Findings
Properties of bound states derived
Scattering states characterized in detail
Numerical results for Yamaguchi-type potential
Abstract
The Dirac equation in (1+1) dimensions with a non-local PT-symmetric potential of separable type is studied by means of the Green function method: properties of bound and scattering states are derived in full detail and numerical results are shown for a potential kernel of Yamaguchi type, inspired by the treatment of low-energy nucleon-nucleon interaction.
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Taxonomy
TopicsHermeneutics and Narrative Identity · Aging, Elder Care, and Social Issues · Health, Medicine and Society