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Dettagli Bibliografici
Autori principali: Aceto, Lidia, Magherini, Cecilia, Weinmüller, Ewa B.
Natura: Preprint
Pubblicazione: 2013
Soggetti:
Accesso online:https://arxiv.org/abs/1312.2425
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Sommario:
  • 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.