Relativistic Coulomb Problem: Analytic Upper Bounds on Energy Levels

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dc.creatorLucha, Wolfgang
dc.creatorSchöberl, Franz F.
dc.date1996-03-28
dc.date.accessioned2026-07-07T12:03:16Z
dc.date.available2026-07-07T12:03:16Z
dc.descriptionThe 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 Schrödinger 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.
dc.description12 pages, LaTeX
dc.identifierhttps://arxiv.org/abs/hep-ph/9603429
dc.identifierhttp://arxiv.org/abs/hep-ph/9603429
dc.identifierPhys.Rev.A54:3790-3794,1996
dc.identifierdoi:10.1103/PhysRevA.54.3790
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/207727
dc.subjectHigh Energy Physics - Phenomenology
dc.subjectHigh Energy Physics - Theory
dc.titleRelativistic Coulomb Problem: Analytic Upper Bounds on Energy Levels
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