Title | ||
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Matrix methods for radial Schrödinger eigenproblems defined on a semi-infinite domain. |
Abstract | ||
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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 |
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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 Aceto | 1 | 1 | 0.39 |
Cecilia Magherini | 2 | 19 | 4.36 |
Ewa Weinmüller | 3 | 118 | 24.75 |