Dirac operators with delta-interactions on smooth hypersurfaces in \(\mathbb{R}^n\)
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Publication:2670659
DOI10.1007/s00041-022-09917-7zbMath1485.35147OpenAlexW4220799618MaRDI QIDQ2670659
Publication date: 11 March 2022
Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00041-022-09917-7
Schrödinger operator, Schrödinger equation (35J10) Time-dependent Schrödinger equations and Dirac equations (35Q41)
Related Items (5)
Method of potential operators for interaction problems on unbounded hypersurfaces in \(\mathbb{R}^n\) for Dirac operators ⋮ Interaction problems on periodic hypersurfaces for Dirac operators on \(\mathbb{R}^n \) ⋮ The physical interpretation of point interactions in one-dimensional relativistic quantum mechanics ⋮ Fredholm property of interaction problems on unbounded \(C^2-\) hypersurfaces in \(\mathbb{R}^n\) for Dirac operators ⋮ Two-dimensional Dirac operators with general δ-shell interactions supported on a straight line
Cites Work
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- Self-adjointness of two-dimensional Dirac operators on domains
- Shell interactions for Dirac operators
- Uniform Shapiro-Lopatinski conditions and boundary value problems on manifolds with bounded geometry
- Essential spectrum of perturbed pseudodifferential operators. Applications to the Schrödinger, Klein-Gordon, and Dirac operators
- Two-dimensional Dirac operators with interactions on unbounded smooth curves
- Quantum mechanics
- A strategy for self-adjointness of Dirac operators: applications to the MIT bag model and \(\delta\)-shell interactions
- Spectral gaps of Dirac operators describing graphene quantum dots
- 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
- Essential spectrum of Schrödinger operators with \(\delta\)-interactions on unbounded hypersurfaces
- Limit operators and their applications in operator theory
- A note on the three dimensional Dirac operator with zigzag type boundary conditions
- Self-adjointness of two-dimensional Dirac operators on corner domains
- Two-dimensional Dirac operators with singular interactions supported on closed curves
- On Dirac operators in \(\mathbb{R}^3\) with electrostatic and Lorentz scalar \(\delta\)-shell interactions
- Confinement-deconfinement transitions for two-dimensional Dirac particles
- Parabolic Equations on Uniformly Regular Riemannian Manifolds and Degenerate Initial Boundary Value Problems
- Fredholm property and essential spectrum of 3-D Dirac operators with regular and singular potentials
- Schrödinger operators with interactions on unbounded hypersurfaces
- ELLIPTIC PROBLEMS WITH A PARAMETER AND PARABOLIC PROBLEMS OF GENERAL TYPE
- Riemannian geometry and geometric analysis
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