A useful form of the recurrence relation between relativistic atomic matrix elements of radial powers

Physics – Atomic Physics

Scientific paper

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7 pages, no figures

Scientific paper

10.1088/0953-4075/35/3/102

Recently obtained recurrence formulae for relativistic hydrogenic radial
matrix elements are cast in a simpler and perhaps more useful form. This is
achieved with the help of a new relation between the $r^a$ and the $\beta r^b$
terms ($\beta$ is a $4\times 4$ Dirac matrix and $a, b$ are constants) in the
atomic matrix elements.

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