Accurate numerical bounds for the spectral points of singular Sturm--Liouville problems over \(0 < x <\infty\).

DOI10.1016/S0377-0427(03)00646-0zbMath1037.81040MaRDI QIDQ1426811

Hasan Taşeli

Publication date: 15 March 2004

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

Schrödinger equationdiatomic moleculesharmonic oscillatorSturm-Liouville eigenvalue problemsDirichlet and Neumann boundary conditionsBessel functions of the first kindEigenvalue enclosuressemi-infinite positive real axistruncated interval

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) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Computational methods for problems pertaining to quantum theory (81-08) Atomic physics (81V45) Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30) Molecular physics (81V55) Spherical harmonics (33C55) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15)

Related Items (4)

Boundary value method for inverse Sturm-Liouville problems ⋮ Periodic-like solutions of variable coefficient and Wick-type stochastic NLS equations ⋮ The Laguerre pseudospectral method for the radial Schrödinger equation ⋮ Determination of partially known Sturm-Liouville potentials

Cites Work

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• Accurate numerical bounds for the spectral points of singular Sturm-Liouville problems over \(-\infty< x<\infty\)
• Optimale Eigenwerteinschließungen
• Exact solutions for vibrational levels of the Morse potential
• On the Nature of the Spectrum of Singular Second Order Linear Differential Equations

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