Relativistically extended Blanchard recurrence relation for hydrogenic matrix elements

Details Relativistically extended Blanchard recurrence relation for hydrogenic matrix elements Relativistically extended Blanchard recurrence relation for hydrogenic matrix elements

2001-02-07

arxiv.org/abs/physics/0102017v1

J. Phys. B: At. Mol. Opt. Phys. v. 34 (2001) 1261-1276

Physics

Atomic Physics

21 pages, to be published in J. Phys. B: At. Mol. Opt. Phys. in April

Scientific paper

10.1088/0953-4075/34/7/309

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 Schr\"odinger 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 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 $\beta r^\lambda$ ---where $\beta$ is a Dirac matrix--- are presented.

Affiliated with

Also associated with

No associations

Rating

Relativistically extended Blanchard recurrence relation for hydrogenic matrix elements does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Relativistically extended Blanchard recurrence relation for hydrogenic matrix elements, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Relativistically extended Blanchard recurrence relation for hydrogenic matrix elements will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-461899