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• W2430038120 abstract "We consider accurate numerical solutions of the one-dimensional time-dependent Schrodinger equation when the potential is piecewise continuous. Spatial step sizes are defined for each of the regions between the discontinuities and a matching condition at the boundaries of the regions is employed. The Numerov method for spatial integration is particularly appropriate to this approach. By employing Pad'e approximants for the time-evolution operator, we obtain solutions with significantly improved precision without increased CPU time. This approach is also appropriate for adaptive changes in spatial step size even when there is no discontinuity of the potential." @default.
• W2430038120 created "2016-06-24" @default.
• W2430038120 creator A5050656198 @default.
• W2430038120 date "2016-06-15" @default.
• W2430038120 modified "2023-09-27" @default.
• W2430038120 title "Numerical time-dependent solutions of the Schrödinger equation with piecewise continuous potentials" @default.
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• W2430038120 doi "https://doi.org/10.1103/physreve.93.063307" @default.
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