An efficient Chebyshev-Lanczos method for obtaining eigensolutions of the Schrödinger equation on a grid

DOI10.1006/jcph.1996.0140zbMath0856.65123OpenAlexW2120542944MaRDI QIDQ1924696

Yanyan Li

Publication date: 24 February 1997

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

Full work available at URL: https://doi.org/10.1006/jcph.1996.0140

zbMATH Keywords

convergenceeigenvalueseigenfunctionsSchrödinger equationMorse oscillatorHenon-Heiles potentialanharmonic sextic oscillatorblock-Lanczos methodMalfliet-Tjon potential

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Estimates of eigenvalues in context of PDEs (35P15) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) NLS equations (nonlinear Schrödinger equations) (35Q55) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15)

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