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http://hdl.handle.net/11154/3253
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Title: | Calculation of matrix elements in relativistic quantum mechanics |
Authors: | Ilarraza-Lomeli, AC Valdes-Martínez, MN Salas-Brito, AL Martínez-y-Romero, RP Nunez-Yepez, HN |
Issue Date: | 2002 |
Abstract: | Employing a relativistic version of a hypervirial result, recurrence relations for arbitrary nondiagonal radial hydrogenic matrix elements have recently been obtained in Dirac relativistic quantum mechanics. In this contribution honoring Professor Lowdin, we report on a new relation we have recently discovered between the matrix elements <2\r(lambda)\1> and <2\betar(lambda)\>-where beta is a Dirac matrix and the numbers distiguish between different radial eigenstates-that allow for a simplification and hence for a more convenient way of expressing the recurrence relations. We additionally derive another relation that can be employed for simplifying two-center matrix element calculations in relativistic atomic or molecular calculations. (C) 2002 Wiley Periodicals, Inc. Int. |
URI: | http://hdl.handle.net/11154/3253 |
ISSN: | 0020-7608 |
Appears in Collections: | Física
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