The relativistic spherical δ-shell interaction in R3: Spectrum and approximation

DOI10.1063/1.5000381zbMath1370.81071arXiv1704.07605OpenAlexW2766309696MaRDI QIDQ5357519

Albert Mas, Fabio Pizzichillo

Publication date: 11 September 2017

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

Full work available at URL: https://arxiv.org/abs/1704.07605

Mathematics Subject Classification ID

Linear symmetric and selfadjoint operators (unbounded) (47B25) PDEs in connection with quantum mechanics (35Q40) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Covariant wave equations in quantum theory, relativistic quantum mechanics (81R20) Commutation relations and statistics as related to quantum mechanics (general) (81S05) Analysis of variance and covariance (ANOVA) (62J10) Electro- and magnetostatics (78A30)

Related Items (10)

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 ⋮ Dirac operators with Lorentz scalar shell interactions ⋮ Non-self-adjoint relativistic point interaction in one dimension ⋮ 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 ⋮ Approximation of one-dimensional relativistic point interactions by regular potentials revised ⋮ Self-adjointness of two-dimensional Dirac operators on corner domains ⋮ Two-dimensional Dirac operators with general δ-shell interactions supported on a straight line

Uses Software

• DLMF

Cites Work

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• Self-adjoint elliptic operators with boundary conditions on not closed hypersurfaces
• Klein's paradox and the relativistic point interaction
• Shell interactions for Dirac operators
• New analytically solvable models of relativistic point interactions
• A strategy for self-adjointness of Dirac operators: applications to the MIT bag model and \(\delta\)-shell interactions
• Klein's paradox and the relativistic \(\delta\)-shell interaction in \(\mathbb{R}^3\)
• On the spectral properties of Dirac operators with electrostatic \(\delta\)-shell interactions
• Dirac operators with a spherically symmetric δ-shell interaction
• Leaky Quantum Graphs: A Review
• Self-adjoint extensions of restrictions
• On Turán type inequalities for modified Bessel functions
• Shell Interactions for Dirac Operators: On the Point Spectrum and the Confinement
• Approximation of Schrödinger operators with δ-interactions supported on hypersurfaces

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