Boundary problems for three-dimensional Dirac operators and generalized MIT bag models for unbounded domains

TL;DR

This paper investigates boundary value problems for 3D-Dirac operators in unbounded domains, establishing conditions for self-adjointness, describing their spectra, and applying findings to MIT bag models.

Contribution

It provides new effective criteria for self-adjointness and spectral analysis of Dirac operators in unbounded domains, extending the MIT bag model applications.

Findings

Established conditions for self-adjointness of Dirac operators

Described the essential spectra of these operators

Applied results to MIT bag models in unbounded domains

Abstract

We consider operators of boundary value problems for 3D- Dirac operators in unbounded domains with the uniformly regular boundary. We give effective conditions of self-adjointness of operators under consideration and a description of their essential spectra. We also give applications to operators of the MIT bag problems for unbounded domains