L. Aceto, A. Fandl, C. Magherini, E. Weinmüller:

"Numerical treatment of radial Schrödinger eigenproblems defined on a semi-infinite domain";

in: "ASC Report 15/2014", issued by: Institute of Applied Mathematics and Numerical Analysis; Vienna University of Technology, Wien, 2014, ISBN: 978-3-902627-07-0, 1 - 12.

In this paper, we discuss numerical approximation of the eigenvalues of the one-dimensional radial Schršodinger equation

posed on a semi-infinite interval. The original problem is first transformed to one defined on a finite domain by

applying suitable change of the independent variable. The eigenvalue problem for the resulting differential operator is

then approximated by a generalized algebraic eigenvalue problem arising after discretization of the analytical problem

by the matrix method based on high order finite difference schemes. Numerical experiments illustrate the performance of the approach.

Radial Schrodinger equation, Infinite domain, Eigenvalues, Finite difference schemes

http://www.asc.tuwien.ac.at/preprint/2014/asc15x2014.pdf

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