General \(\delta\)-shell interactions for the two-dimensional Dirac operator: self-adjointness and approximation
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Publication:6172765
DOI10.4171/rmi/1354zbMath1528.81132arXiv2102.09988WikidataQ114021382 ScholiaQ114021382MaRDI QIDQ6172765
Vladimir Lotoreichik, Matěj Tušek, Biagio Cassano, Albert Mas
Publication date: 20 July 2023
Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2102.09988
boundary conditionsDirac operatorself-adjoint operatorconformal mapquantum-dotLorentz-scalar-\(\delta \)-shell
Applications of operator theory in the physical sciences (47N50) Linear symmetric and selfadjoint operators (unbounded) (47B25) Conformal mappings of special domains (30C20) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Applications of operator theory to differential and integral equations (47N20) Shellability for polytopes and polyhedra (52B22) Boundary value and inverse problems for harmonic functions in two dimensions (31A25) Quantum dots, waveguides, ratchets, etc. (81Q37)
Related Items (8)
Spectral transition for Dirac operators with electrostatic \(\delta\)-shell potentials supported on the straight line ⋮ D^²=H+¼ with point interactions ⋮ The physical interpretation of point interactions in one-dimensional relativistic quantum mechanics ⋮ 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 ⋮ Eigenvalue curves for generalized MIT bag models ⋮ Dirac operator spectrum in tubes and layers with a zigzag-type boundary ⋮ Two-dimensional Dirac operators with general δ-shell interactions supported on a straight line
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