Relativistic Coulomb Problem: Analytic Upper Bounds on Energy Levels

Details Relativistic Coulomb Problem: Analytic Upper Bounds on Energy Levels Relativistic Coulomb Problem: Analytic Upper Bounds on Energy Levels

1996-03-28

arxiv.org/abs/hep-ph/9603429v1

Phys.Rev.A54:3790-3794,1996

Physics

High Energy Physics

High Energy Physics - Phenomenology

12 pages, LaTeX

Scientific paper

10.1103/PhysRevA.54.3790

The spinless relativistic Coulomb problem is the bound-state problem for the spinless Salpeter equation (a standard approximation to the Bethe--Salpeter formalism as well as the most simple generalization of the nonrelativistic Schr\"odinger formalism towards incorporation of relativistic effects) with the Coulomb interaction potential (the static limit of the exchange of some massless bosons, as present in unbroken gauge theories). The nonlocal nature of the Hamiltonian encountered here, however, renders extremely difficult to obtain rigorous analytic statements on the corresponding solutions. In view of this rather unsatisfactory state of affairs, we derive (sets of) analytic upper bounds on the involved energy eigenvalues.

Affiliated with

Also associated with

No associations

Rating

Relativistic Coulomb Problem: Analytic Upper Bounds on Energy Levels 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 Relativistic Coulomb Problem: Analytic Upper Bounds on Energy Levels, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Relativistic Coulomb Problem: Analytic Upper Bounds on Energy Levels will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-402699