Matrix methods for radial Schrödinger eigenproblems defined on a semi-infinite domain
Fuente:
arXiv
Enregistré dans:
| Auteurs principaux: | , , |
|---|---|
| Format: | Preprint |
| Publié: |
2013
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866929278332960768 |
|---|---|
| author | Aceto, Lidia Magherini, Cecilia Weinmüller, Ewa B. |
| author_facet | Aceto, Lidia Magherini, Cecilia Weinmüller, Ewa B. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1312_2425 |
| institution | arXiv |
| publishDate | 2013 |
| record_format | arxiv |
| spellingShingle | Matrix methods for radial Schrödinger eigenproblems defined on a semi-infinite domain Aceto, Lidia Magherini, Cecilia Weinmüller, Ewa B. Numerical Analysis 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. |
| title | Matrix methods for radial Schrödinger eigenproblems defined on a semi-infinite domain |
| topic | Numerical Analysis |
| url | https://arxiv.org/abs/1312.2425 |