Finite difference calculations of eigenvalues for various potentials

DOI10.1088/0305-4470/25/2/028zbMath0765.65087OpenAlexW2015307725MaRDI QIDQ4008147

M. R. M. Witwit

Publication date: 27 September 1992

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

Full work available at URL: https://doi.org/10.1088/0305-4470/25/2/028

zbMATH Keywords

comparisoneigenvaluesfinite difference methodsanharmonic oscillatorsymmetric potentialsone-dimensional Schrödinger equationground state energies

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Finite difference and finite volume methods for ordinary differential equations (65L12) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15)

Related Items (7)

Quantum theory of anharmonic oscillator: Energy levels of a three-dimensional oscillator with quartic anisotropic perturbation ⋮ Some inner product techniques for computing eigenvalues for three-dimensional anharmonic oscillators with quartic and sextic perturbations ⋮ Energy levels for a double-well potential in three-dimensional system using Hill determinant approach ⋮ Energy levels of a nonpolynomial oscillator using finite difference technique ⋮ Pseudospectral methods for solving an equation of hypergeometric type with a perturbation ⋮ Energy levels of two-dimensional anharmonic oscillators with sextic and octic perturbations ⋮ Quantum theory of a double-well potential: Energy levels for symmetric and nonsymmetric double-well potentials in a three-dimensional system

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