Mathematical predominance of Dirichlet condition for the one-dimensional Coulomb potential

DOI10.1063/1.4719976zbMath1275.81038arXiv1205.6437OpenAlexW2050523714MaRDI QIDQ2862896

Alessandra A. Verri, César R. de Oliveira

Publication date: 20 November 2013

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

Full work available at URL: https://arxiv.org/abs/1205.6437

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Linear boundary value problems for ordinary differential equations (34B05)

Related Items (3)

Quantum graphs: Coulomb-type potentials and exactly solvable models ⋮ On the existence of impurity bound excitons in one-dimensional systems with zero range interactions ⋮ On Norm Resolvent and Quadratic Form Convergences in Asymptotic Thin Spatial Waveguides

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• The functional–analytic versus the functional–integral approach to quantum Hamiltonians: The one-dimensional hydrogen atoma)
• On the curvature and torsion effects in one dimensional waveguides

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