Approximation of Dirac Operators with Confining Electrostatic and Lorentz Scalar δ-Shell Potentials

TL;DR

This paper studies how to approximate Dirac operators with specific types of δ-shell potentials in quantum mechanics.

Contribution

The paper extends previous work by considering impermeable δ-shell potentials in the context of Dirac operators.

Findings

Dirac operators with confining electrostatic δ-shell potentials are approximated in the norm resolvent sense.

The support of the δ-shell potentials is impermeable to particles modeled by the Dirac operators.

Abstract

In this paper we continue earlier investigations regarding the approximation of Dirac operators with \documentclass[12pt]{minimal}
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\begin{document}$$\delta $$\end{document}δ-shell potentials in the norm resolvent sense. In particular, we consider the approximation of Dirac operators with confining electrostatic and Lorentz scalar \documentclass[12pt]{minimal}
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\begin{document}$$\delta $$\end{document}δ-shell potentials, where the support of the \documentclass[12pt]{minimal}
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\begin{document}$$\delta $$\end{document}δ-shell potentials is impermeable to particles modelled by such Dirac operators.