Numerical solution of the one-dimensional time-independent Schrödinger's equation by recursive evaluation of derivatives

DOI10.1016/j.amc.2010.01.002zbMath1186.65098OpenAlexW2016684714MaRDI QIDQ961638

Asai Asaithambi

Publication date: 31 March 2010

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

Full work available at URL: https://doi.org/10.1016/j.amc.2010.01.002

zbMATH Keywords

numerical examplesanharmonic oscillatorharmonic oscillatorSchrödinger's equationrecursive evaluation of Taylor coefficients

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) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Linear boundary value problems for ordinary differential equations (34B05)

Related Items (4)

Robustness of a relaxation oscillator ⋮ Symplectic partitioned Runge-Kutta methods with the phase-lag property ⋮ Evaluation of correlation functions and wave-functions of the Gaussian random potentials by numerical shooting method ⋮ A coupled system involving nonlinear fractional \(q\)-difference stationary Schrödinger equation

Cites Work

• Unnamed Item
• Two-step methods for the numerical solution of the Schrödinger equation
• Symplectic integrators for the numerical solution of the Schrödinger equation
• Practical points concerning the solution of the Schrödinger equation
• Shooting methods for the Schrodinger equation

This page was built for publication: Numerical solution of the one-dimensional time-independent Schrödinger's equation by recursive evaluation of derivatives