Self-adjoint Dirac operators on domains in \(\mathbb{R}^3\) (Q2195866)

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Self-adjoint Dirac operators on domains in \(\mathbb{R}^3\)
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    Self-adjoint Dirac operators on domains in \(\mathbb{R}^3\) (English)
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    28 August 2020
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    The main theme of this paper is to study the spectral and scattering properties of self-adjoint Dirac operators on domains in \(\mathbb{R}^3\) with special boundary conditions, which can be viewed as relativistic parallels of Schrödinger operators with Robin-type boundary conditions. Quasi boundary triple and their Weyl functions are applied to derive various spectral properties of the Dirac operators in consideration. Lastly, their results are linked to the study of Dirac operators with singular \(\delta\)-shell interactions with variable interaction strengths.
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    self-adjoint Dirac operators on domains in \(\mathbb{R}^3\)
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    quasi boundary triple
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    Weyl function
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