The influence of the boundedness of polynomial potentials on the spectrum of the Schrödinger equation

DOI10.1016/0021-9991(92)90002-GzbMath0760.65084OpenAlexW1981763943MaRDI QIDQ1201063

Hasan Taşeli

Publication date: 17 January 1993

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

Full work available at URL: https://doi.org/10.1016/0021-9991(92)90002-g

zbMATH Keywords

numerical examplesHamiltonianeigenvalue problemSchrödinger equationpolynomial potentialsRayleigh-Ritz variational method

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) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15)

Related Items (2)

On some polynomial potentials in d-dimensions ⋮ Inverse Sturm–Liouville problems with pseudospectral methods

Cites Work

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• Accurate calculation of the eigenvalues of the \(x^ 2+ \lambda x^ 2/(1+gx^ 2)\) potential
• Perturbative solution for the generalised anharmonic oscillators
• Studies on algebraic methods to solve linear eigenvalue problems: generalised anharmonic oscillators
• Boolean functions and finite difference eigenvalues
• Energy levels of a two-dimensional anharmonic oscillator: Characteristic function approach

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