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The fast and accurate computation of eigenvalues and eigenfunctions of time-independent one-dimensional Schrodinger equations
Baeyens, T.; Van Daele, M. (2021). The fast and accurate computation of eigenvalues and eigenfunctions of time-independent one-dimensional Schrodinger equations. Computer Physics Communications 258: 107568. https://hdl.handle.net/10.1016/j.cpc.2020.107568
In: Computer Physics Communications. ELSEVIER SCIENCE BV: Amsterdam. ISSN 0010-4655; e-ISSN 1879-2944, more
Peer reviewed article  
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Author keywords
    Schrodinger equation; Sturm-Liouville problems; Constant Perturbations Methods; Eigenvalues; Eigenfunctions
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Abstract
    In this paper, we present the basic routines of the C++-program Matslise 3.0, an updated but yet restricted version of the matlab package Matslise 2.0. Matslise 3.0 currently allows the accurate, but in comparison to Matslise 2.0, faster computation of eigenvalues and eigenfunctions of one dimensional time-independent Schrödinger problems. The numerical examples show that speed up factors up to 20 (for the eigenvalues) and 200 (for the eigenfunctions) are obtained. These highly optimized routines will enable us, in the near future, to extend Matslise 3.0 to solve time-independent 2D and 3D as well as time-dependent 1D problems.
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