Boundary values for an eigenvalue problem with a singular potential

DOI10.1016/0022-0396(82)90059-6zbMath0457.35066OpenAlexW2044318900MaRDI QIDQ1150759

Allan M. Krall

Publication date: 1982

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(82)90059-6

zbMATH Keywords

eigenvalue problemboundary valuessingular potentialradial Hamiltonian operator

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Hamilton's equations (70H05)

Related Items (13)

Asymptotics of Sturm-Liouville eigenvalues for problems on a finite interval with one limit-circle singularity, I ⋮ Inequivalent quantizations of the three-particle Calogero model constructed by separation of variables ⋮ Hydrogen atom in space with a compactified extra dimension and potential defined by Gauss' law ⋮ Hamiltonian systems of limit point or limit circle type with both endpoints singular ⋮ Computing eigenvalues of singular Sturm-Liouville problems ⋮ Parameterization of the M(λ) function for a Hamiltonian system of limit circle type ⋮ Energy spectrum of the hydrogen atom in a space with one compactified extra dimension, \(\mathbb R^3\times S^1\) ⋮ Quantum tunneling and caustics under inverse square potential ⋮ A uniqueness theorem for inverse nodal problem ⋮ New implicitly solvable potential produced by second order shape invariance ⋮ ON THE SPECTRUM OF A SINGULAR HAMILTONIAN SYSTEM, II ⋮ Optimal covariant measurement of momentum on a half line in quantum mechanics ⋮ On negative eigenvalues of the spectral problem for water waves of highest amplitude

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• Parametrizations of Titchmarsh's m(λ)-Functions in the Limit Circl Case
• A Nonhomogeneous Eigenfunction Expansion
• Singular potentials in nonrelativistic quantum mechanics
• Singular Potentials
• On the Nature of the Spectrum of Singular Second Order Linear Differential Equations
• Connection formulas between the solutions of Mathieu’s equation

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