Solving Schrödinger equation by meshless methods
In this paper we apply a numerical meshless scheme for solving one and two dimensional time independent Schr ̈ odinger equation by means of collocation method with Radial Basis Functions interpolants. In particular we approximate the solutions using multiquadrics. The method is tested with some of t...
| Autores: | , , , , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2016 |
| País: | México |
| Institución: | Universidad Autónoma del Estado de Morelos |
| Repositorio: | Redalyc-UAEM |
| OAI Identifier: | oai:redalyc.org:57048166006 |
| Acceso en línea: | https://www.redalyc.org/articulo.oa?id=57048166006 |
| Access Level: | acceso abierto |
| Palabra clave: | Física, Astronomía y Matemáticas quantum dots quantum wells low dimensional systems Schr ̈ odinger equation Keywords: Meshless methods |
| Sumario: | In this paper we apply a numerical meshless scheme for solving one and two dimensional time independent Schr ̈ odinger equation by means of collocation method with Radial Basis Functions interpolants. In particular we approximate the solutions using multiquadrics. The method is tested with some of the well-known configurations of Schr ̈ odinger equation and compared with analytical solutions, showing a great accuracy and stability. We also provide some insight on how to use meshless algorithms for obtaining the eigenenergies and wavefunctions of one- and two-dimensional Schrodinger problems. |
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