A new finite difference scheme with minimal phase-lag for the numerical solution of the Schrödinger equation.

DOI10.1016/S0096-3003(98)10127-3zbMath1049.81526OpenAlexW1966522875MaRDI QIDQ1569118

Theodore E. Simos

Publication date: 25 June 2000

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

Full work available at URL: https://doi.org/10.1016/s0096-3003(98)10127-3

zbMATH Keywords

Schrödinger equationEigenvalue problem

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Computational methods for problems pertaining to quantum theory (81-08) Applications to the sciences (65Z05)

Related Items (9)

High algebraic order methods with vanished phase-lag and its first derivative for the numerical solution of the Schrödinger equation ⋮ Mulitstep methods with vanished phase-lag and its first and second derivatives for the numerical integration of the Schrödinger equation ⋮ Symplectic partitioned Runge-Kutta methods with the phase-lag property ⋮ A family of eight-step methods with vanished phase-lag and its derivatives for the numerical integration of the Schrödinger equation ⋮ Pseudospectral methods of solution of the Schrödinger equation ⋮ A discrete eigenfunctions method for computing mixed hyperbolic problems based on an implicit difference scheme ⋮ A family of trigonometrically fitted partitioned Runge-Kutta symplectic methods ⋮ High order closed Newton-Cotes trigonometrically-fitted formulae for the numerical solution of the Schrödinger equation ⋮ On the efficiency of Newton and Broyden numerical methods in the investigation of the regular polygon problem of (\(N + 1\)) bodies

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