Fredholm property and essential spectrum of 3-D Dirac operators with regular and singular potentials
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Publication:5066128
DOI10.1080/17476933.2020.1851211zbMath1491.35150arXiv2011.08369OpenAlexW3111491960MaRDI QIDQ5066128
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Publication date: 29 March 2022
Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2011.08369
Spectrum, resolvent (47A10) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Schrödinger operator, Schrödinger equation (35J10) (Semi-) Fredholm operators; index theories (47A53)
Related Items (5)
Spectral analysis of Dirac operators with delta interactions supported on the boundaries of rough domains ⋮ Dirac operators with delta-interactions on smooth hypersurfaces in \(\mathbb{R}^n\) ⋮ Curvature contribution to the essential spectrum of Dirac operators with critical shell interactions ⋮ Self‐adjointness for the MIT bag model on an unbounded cone ⋮ Fredholm property of interaction problems on unbounded \(C^2-\) hypersurfaces in \(\mathbb{R}^n\) for Dirac operators
Cites Work
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- Shell interactions for Dirac operators
- Essential spectrum of perturbed pseudodifferential operators. Applications to the Schrödinger, Klein-Gordon, and Dirac operators
- A strategy for self-adjointness of Dirac operators: applications to the MIT bag model and \(\delta\)-shell interactions
- 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
- Schrödinger operators with \(\delta\) and \(\delta^{\prime}\)-potentials supported on hypersurfaces
- On Dirac operators in \(\mathbb{R}^3\) with electrostatic and Lorentz scalar \(\delta\)-shell interactions
- Transmission problems for conical and quasi-conical at infinity domains
- One-dimensional Schrödinger operators with local point interactions.
- Schrödinger operators with interactions on unbounded hypersurfaces
- OPERATORS OF CONVOLUTION TYPE IN CONES
- PSEUDODIFFERENTIAL OPERATORS ON A CLASS OF NONCOMPACT MANIFOLDS
- Band-dominated operators with operator-valued coefficients, their Fredholm properties and finite sections
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