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

Abstract

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.

7 pages, no figures

References in corpus (2)

• Relativistically extended Blanchard recurrence relation for hydrogenic matrix elements
• Recurrence relation for relativistic atomic matrix elements