Matrix methods for radial Schrödinger eigenproblems defined on a semi-infinite domain

Lidia Aceto, Cecilia Magherini and Ewa B. Weinmüller

Applied Mathematics and Computation, 2015, vol. 255, issue C, 179-188

Abstract: In this paper, we discuss numerical approximation of the eigenvalues of the one-dimensional radial Schrödinger 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.

Keywords: Radial Schrödinger equation; Infinite domain; Eigenvalues; Finite difference schemes (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:255:y:2015:i:c:p:179-188

DOI: 10.1016/j.amc.2014.05.075

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