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Solving Time-Dependent Equations Of Schrödinger-Type Using Mapped Infinite Elements

Author

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  • JAIRO DUQUE

    (Departamento de Matemáticas, Universidad del Valle, Calle 13 #100-00, Cali, Colombia)

Abstract

We present a general technique to solve one-dimensional time-dependent Schrödinger-type equations. A mapped infinite elements approach is used to eliminate spurious reflections of outgoing wave packets from the boundaries of the interval of interest. This procedure leads to more precise solutions because the space coordinates are discretized to approximate the solution in the entire physical domain. We show its utility giving numerical results on three typical examples: a bounded short-range potential; the unbounded potential of a particle in a dc field; and a Hamiltonian with an intrinsic time dependence like the Hamiltonian of a charged particle in an ac electromagnetic field.

Suggested Citation

  • Jairo Duque, 2005. "Solving Time-Dependent Equations Of Schrödinger-Type Using Mapped Infinite Elements," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 16(02), pages 309-316.
    • Handle: RePEc:wsi:ijmpcx:v:16:y:2005:i:02:n:s012918310500711x
    DOI: 10.1142/S012918310500711X
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