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4 papers · 1 filter
On numerical solutions of the time-dependent Schrödinger equation
Wytse van Dijk
We review an explicit approach to obtaining numerical solutions of the Schrödinger equation that is conceptionally straightforward and capable of significant accuracy and efficienc…
Numerical solutions of the time-dependent Schrodinger equation in two dimensions
Wytse van Dijk, Trevor Vanderwoerd, Sjirk-Jan Prins
The generalized Crank-Nicolson method is employed to obtain numerical solutions of the two-dimensional time-dependent Schrodinger equation. An adapted alternating-direction implici…
Numerical solutions of the Schrodinger equation with source terms or time-dependent potentials
W. van Dijk, F. M. Toyama
We develop an approach to solving numerically the time-dependent Schrodinger equation when it includes source terms and time-dependent potentials. The approach is based on the gene…
Accurate numerical solutions of the time-dependent Schrödinger equation
W. van Dijk, F. M. Toyama
We present a generalization of the often-used Crank-Nicolson (CN) method of obtaining numerical solutions of the time-dependent Schrödinger equation. The generalization yields nume…