A time-dependent method for computing eigenfunctions and eigenvalues of Schrödinger operators

DOI10.1007/BF03167843zbMath0707.65087OpenAlexW2014800978MaRDI QIDQ3489400

Toshio Suzuki, S. T. Kuroda

Publication date: 1990

Published in: Japan Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03167843

zbMATH Keywords

eigenvaluenumerical examplesSchrödinger operatoreigenfunctiontime-dependent Schrödinger equationforced oscillationhigh degree of accuracyexcitation by resonance

Mathematics Subject Classification ID

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) PDEs in connection with quantum mechanics (35Q40) Schrödinger operator, Schrödinger equation (35J10) Applications to the sciences (65Z05) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)

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Cites Work

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• Solution of the Schrödinger equation by a spectral method
• A new method for the numerical solution of the Schrödinger equations
• Partial Differential Equations with Periodic Coefficients and Bloch Waves in Crystals
• Survey of Extrapolation Processes in Numerical Analysis