Relativistic point interactions: Approximation by smooth potentials

DOI10.1016/S0034-4877(97)89757-1zbMath0892.47068OpenAlexW2086834780MaRDI QIDQ1373692

Rhonda J. Hughes

Publication date: 14 January 1998

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0034-4877(97)89757-1

zbMATH Keywords

Dirac Hamiltonianone-dimensional relativistic point interactionsSchrödinger point interactions

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)

Related Items (9)

Non-self-adjoint relativistic point interaction in one dimension ⋮ Smooth approximation of singular perturbations ⋮ The physical interpretation of point interactions in one-dimensional relativistic quantum mechanics ⋮ General \(\delta\)-shell interactions for the two-dimensional Dirac operator: self-adjointness and approximation ⋮ Approximation of one-dimensional relativistic point interactions by regular potentials revised ⋮ A mathematical aspect of a tunnel-junction for spintronic qubit ⋮ Bound states of the spin-orbit coupled ultracold atom in a one-dimensional short-range potential ⋮ Finite-rank perturbations of the Dirac operator ⋮ Two-dimensional Dirac operators with general δ-shell interactions supported on a straight line

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Klein's paradox and the relativistic point interaction
• Quantization of fermions interacting with point-like external fields
• Some remarks on the \(\delta\) '-interaction in one dimension
• New analytically solvable models of relativistic point interactions
• Dirac and Klein-Gordon equations: Convergence of solutions in the nonrelativistic limit
• Asymptotic analysis of some abstract evolution equations
• Relativistic point interaction
• A new class of point interactions in one dimension
• Renormalization of the relativistic delta potential in one dimension
• Perturbation of pseudoresolvents and analyticity in \(1/c\) in relativistic quantum mechanics

This page was built for publication: Relativistic point interactions: Approximation by smooth potentials