Bound states and point interactions of the one-dimensional pseudospin-one Hamiltonian

DOI10.1088/1751-8121/ad075earXiv2310.17934OpenAlexW4388092103MaRDI QIDQ6148219

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Publication date: 11 January 2024

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

Full work available at URL: https://arxiv.org/abs/2310.17934

zbMATH Keywords

Dirac equationbound statesflat bandspoints interactions

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Atomic physics (81V45) Spinor and twistor methods applied to problems in quantum theory (81R25) Graph labelling (graceful graphs, bandwidth, etc.) (05C78) Other fundamental interactions in quantum theory (81V19)

Cites Work

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• Some remarks on the \(\delta\) '-interaction in one dimension
• 1D Schrödinger operators with short range interactions: two-scale regularization of distributional potentials
• Approximation of one-dimensional relativistic point interactions by regular potentials revised
• Beyond Dirac and Weyl fermions: Unconventional quasiparticles in conventional crystals
• On the existence of resonances in the transmission probability for interactions arising from derivatives of Dirac s delta function
• A zero-thickness limit of multilayer structures: a resonant-tunnellingδ^′-potential
• Boundary conditions at the derivative of a delta function
• INTRINSIC RESONANT TUNNELING PROPERTIES OF THE ONE-DIMENSIONAL SCHRÖDINGER OPERATOR WITH A DELTA DERIVATIVE POTENTIAL
• Scattering properties of point dipole interactions
• Scattering data and bound states of a squeezed double-layer structure

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