On the numerical integration of the Schrödinger equation: Numerical tests

DOI10.1016/0021-9991(82)90111-5zbMath0483.65053OpenAlexW2011557854MaRDI QIDQ1163349

S. Singh

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1016/0021-9991(82)90111-5

zbMATH Keywords

numerical testsSchrödinger equationTaylor expansionfinite-difference schemePade approximantsSturm- Liouville problem

Mathematics Subject Classification ID

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) Ordinary differential operators (34L99)

Related Items

Integral equations: A tool to solve the Schrödinger equation, Exact time evolution methods for large bound systems, The Lagrange-mesh method, Nonlinear Fourier analysis for the infinite-interval Korteweg-de Vries equation. I: An algorithm for the direct scattering transform

Cites Work

• Incorporating origin shifts into the QR algorithm for symmetric tridiagonal matrices