An algorithm for the solution of the eigenvalue Schrödinger equation

DOI10.1016/0021-9991(90)90190-CzbMath0702.65077OpenAlexW2041714658MaRDI QIDQ915393

C. D. Papageorgiou, A. D. Raptis, Theodore E. Simos

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1016/0021-9991(90)90190-c

zbMATH Keywords

error estimateseigenvaluesparticle physicsoptical potentialMorse potentialradial Schrödinger equationRecursive formulas

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Sturm-Liouville theory (34B24) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) General spectral theory of ordinary differential operators (34L05) Error bounds for numerical methods for ordinary differential equations (65L70) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15)

Related Items (5)

The Rayleigh-Ritz method still competitive ⋮ 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 ⋮ Quantum theory of a double-well potential: Energy levels for symmetric and nonsymmetric double-well potentials in a three-dimensional system

Cites Work

• A method for the solution of the Schrödinger equation
• Practical points concerning the solution of the Schrödinger equation

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