Microscopic optical potentials for time-dependent quantum systems

The numerical solution of the time-dependent Schrödinger equation often relies on the expansion of the wavefunction in terms of a truncated set of orbitals spanning a finite model space. The projection of the Schrödinger equation onto a finite subspace of the Hilbert space necessarily leads to an ef...

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Bibliographic Details
Published in:Computer physics communications 1991-02, Vol.63 (1), p.345-350
Main Authors: Lüdde, H.J., Dreizler, R.M.
Format: Article
Language:English
Subjects:
Exact sciences and technology
Mathematical methods in physics
Numerical approximation and analysis
Physics
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Summary:The numerical solution of the time-dependent Schrödinger equation often relies on the expansion of the wavefunction in terms of a truncated set of orbitals spanning a finite model space. The projection of the Schrödinger equation onto a finite subspace of the Hilbert space necessarily leads to an effective interaction described by a complex operator. The imaginary part of this optical potential accounts globally for the coupling between the model space and its explicitly neglected complement. We discuss a nonperturbative approximation to this optical potential and give some details for the numerical evaluation of the matrix elements involved.
ISSN:0010-4655
1879-2944
DOI:10.1016/0010-4655(91)90261-I