Title
Matrix methods for radial Schrödinger eigenproblems defined on a semi-infinite domain.
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.
Year
DOI
Venue
2015
10.1016/j.amc.2014.05.075
Applied Mathematics and Computation
Keywords
DocType
Volume
Radial Schrödinger equation,Infinite domain,Eigenvalues,Finite difference schemes
Journal
255
Issue
ISSN
Citations 
C
0096-3003
1
PageRank 
References 
Authors
0.39
2
3
Name
Order
Citations
PageRank
Lidia Aceto110.39
Cecilia Magherini2194.36
Ewa Weinmüller311824.75