Interaction problems on periodic hypersurfaces for Dirac operators on \(\mathbb{R}^n \)
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Publication:6147833
DOI10.1007/s10958-022-05876-yOpenAlexW4292823075WikidataQ114225175 ScholiaQ114225175MaRDI QIDQ6147833
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Publication date: 1 February 2024
Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10958-022-05876-y
Estimates of eigenvalues in context of PDEs (35P15) Strong interaction, including quantum chromodynamics (81V05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Spectral theory; eigenvalue problems on manifolds (58C40)
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
- Holomorphic operator functions of one variable and applications. Methods from complex analysis in several variables
- 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
- An affirmative answer to a core issue on limit operators
- On Dirac operators in \(\mathbb{R}^3\) with electrostatic and Lorentz scalar \(\delta\)-shell interactions
- Confinement-deconfinement transitions for two-dimensional Dirac particles
- Dirac operators with delta-interactions on smooth hypersurfaces in \(\mathbb{R}^n\)
- Essential self-adjointness of n-dimensional Dirac operators with a variable mass term
- Parabolic Equations on Uniformly Regular Riemannian Manifolds and Degenerate Initial Boundary Value Problems
- An overview of periodic elliptic operators
- Schrödinger operators with interactions on unbounded hypersurfaces
- On the index of meromorphic operator-valued functions and some applications
- ELLIPTIC PROBLEMS WITH A PARAMETER AND PARABOLIC PROBLEMS OF GENERAL TYPE
- Band-dominated operators with operator-valued coefficients, their Fredholm properties and finite sections
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