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Please use this identifier to cite or link to this item: http://hdl.handle.net/11154/3253

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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