Finite-element solution of the coupled-channel Schrödinger equation using high-order accuracy approximations

DOI10.1016/0010-4655(94)00106-CzbMath0873.65075MaRDI QIDQ1359811

A. G. Abrashkevich, D. G. Abrashkevich, I. V. Puzynin, Michael Kaschiev

Publication date: 30 October 1997

Published in: Computer Physics Communications (Search for Journal in Brave)

zbMATH Keywords

convergencesystemsfinite element methodnumerical experimentssecond-order differential equationsSturm-Liouville problemquantum-mechanical problems

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 eigenvalue problems involving ordinary differential equations (65L15) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

Related Items (3)

FESSDE, a program for the finite-element solution of the coupled-channel Schrödinger equation using high-order accuracy approximations ⋮ Symbolic algorithm for factorization of the evolution operator of the time-dependent Schrödinger equation ⋮ The solution of stationary ODE problems in quantum mechanics by Magnus methods with stepsize control

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