Regularization methods for delta-function potential in two-dimensional quantum mechanics

DOI10.1119/1.19485zbMath1219.81113OpenAlexW2037177440MaRDI QIDQ3088724

Su-Long Nyeo

Publication date: 19 August 2011

Published in: American Journal of Physics (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/a3d34983c36d1afc3bdf5f8cfb157ecb2e7758a2

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05)

Related Items (8)

Finitely many Dirac-delta interactions on Riemannian manifolds ⋮ Singularity-free treatment of delta-function point scatterers in two dimensions and its conceptual implications ⋮ Renormalization of multi-delta-function point scatterers in two and three dimensions, the coincidence-limit problem, and its resolution ⋮ Renormalization of Dirac Delta Potentials Through Minimal Extension of Heisenberg Algebra ⋮ Differential representation of the delta function in two-dimensional quantum mechanics ⋮ Scattering by a collection of \(\delta\)-function point and parallel line defects in two dimensions ⋮ Geometric scattering of a scalar particle moving on a curved surface in the presence of point defects ⋮ Renormalized interaction of relativistic bosons with delta function potentials

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