Relativistically extended Blanchard recurrence relation for hydrogenic matrix elements
General recurrence relations for arbitrary non-diagonal, radial hydrogenic matrix elements are derived in Dirac relativistic quantum mechanics, Our approach is based on a generalization of the second hypervirial method previously employed in the non-relativistic Schrodinger case. A relativistic vers...
| Autores: | , , |
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| Formato: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2001 |
| País: | México |
| Recursos: | Universidad Nacional Autónoma de México |
| Repositorio: | Sistema de Información de la Facultad de Ciencias, UNAM |
| OAI Identifier: | oai:repositorio.fciencias.unam.mx:11154/1965 |
| Acesso em linha: | http://hdl.handle.net/11154/1965 |
| Access Level: | acceso abierto |
| Palavra-chave: | Optics Physics, Atomic, Molecular & Chemical |
| Resumo: | General recurrence relations for arbitrary non-diagonal, radial hydrogenic matrix elements are derived in Dirac relativistic quantum mechanics, Our approach is based on a generalization of the second hypervirial method previously employed in the non-relativistic Schrodinger case. A relativistic version of the Pasternack-Sternheimer relation is thence obtained in the diagonal (i.e, total angular momentum and parity the same) case, from such a relation an expression for the relativistic virial theorem is deduced. To contribute to the utility of the relations, explicit expressions for the radial matrix elements of functions of the form r(lambda) and Br-lambda (where beta is a Dirac matrix) are presented. |
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