Dirac operators, shell interactions, and discontinuous gauge functions across the boundary

DOI10.1063/1.4974359zbMath1357.81091arXiv1512.03573OpenAlexW2963048166MaRDI QIDQ2968432

Albert Mas

Publication date: 13 March 2017

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1512.03573

Mathematics Subject Classification ID

Operations with distributions and generalized functions (46F10) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)

Related Items

Spectral analysis of Dirac operators with delta interactions supported on the boundaries of rough domains ⋮ Spectral properties of the Dirac operator coupled with \(\delta\)-shell interactions ⋮ Self-adjoint Dirac operators on domains in \(\mathbb{R}^3\) ⋮ General \(\delta\)-shell interactions for the two-dimensional Dirac operator: self-adjointness and approximation ⋮ Eigenvalue curves for generalized MIT bag models

Cites Work

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• An isoperimetric-type inequality for electrostatic shell interactions for Dirac operators
• Shell interactions for Dirac operators
• Lower bounds on the lowest spectral gap of singular potential Hamiltonians
• 1-D Schrödinger operators with local point interactions on a discrete set
• Schrödinger operators with δ- and δ′-interactions on Lipschitz surfaces and chromatic numbers of associated partitions
• Dirac operators with a spherically symmetric δ-shell interaction
• Hiatus perturbation for a singular Schrödinger operator with an interaction supported by a curve in R3
• Self-adjoint extensions of restrictions
• Exactly solvable models of relativistic δ-sphere interactions in quantum mechanics
• Shell Interactions for Dirac Operators: On the Point Spectrum and the Confinement