On radial Schrödinger operators with a Coulomb potential: general boundary conditions

DOI10.1007/s43036-020-00082-6zbMath1448.34158arXiv2001.10598OpenAlexW3040043087MaRDI QIDQ782546

Quang Nhat Nguyen, Serge Richard, Jan Dereziński, Jérémy Faupin

Publication date: 27 July 2020

Published in: Advances in Operator Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.10598

zbMATH Keywords

boundary conditionsSchrödinger operatorsCoulomb potentialWhittaker equation

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) General spectral theory of ordinary differential operators (34L05) General theory of ordinary differential operators (47E05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Boundary eigenvalue problems for ordinary differential equations (34B09)

Related Items (7)

A comparison of the Georgescu and Vasy spaces associated to the \(N\)-body problems and applications ⋮ Coupling constant dependence for the Schrödinger equation with an inverse-square potential ⋮ A regularity result for the bound states of \(N\)-body Schrödinger operators: blow-ups and Lie manifolds ⋮ Holomorphic family of Dirac-Coulomb Hamiltonians in arbitrary dimension ⋮ Diffraction of the Aharonov-Bohm Hamiltonian ⋮ Perturbed Bessel operators. Boundary conditions and closed realizations ⋮ Magnetic perturbations of anyonic and Aharonov–Bohm Schrödinger operators

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