Bound Dirac states, different Lorentz-type couplings of central potentials and the non-relativistic limit
2009 (English)In: European Physical Journal D: Atomic, Molecular and Optical Physics, ISSN 1434-6060, E-ISSN 1434-6079, Vol. 54, no 3, 591-596 p.Article in journal (Refereed) Published
The analysis of bound radial Dirac states is shown to simplify for problems with an equal mixture of Lorentz vector and Lorentz scalar potentials, thus satisfying a so-called spin symmetry of the energy spectrum. Typical relativistic restrictions on potentials that are singular at the origin then disappear. Such potentials may even be strongly singular at the origin like the well known Lennard-Jones potentials modelling many atom-atom interactions, and they reduce to non-relativistic potentials of identical form. Bound state energies for potentials with equal vector- and scalar couplings are compared with those of a pure vector coupling of the same radial (attractive screened and unscreened Coulomb) shapes, and with non-relativistic results.
Place, publisher, year, edition, pages
2009. Vol. 54, no 3, 591-596 p.
high-speed method, dimensional schrodinger equation, rapid numerical, solution, eigenvalue problems, wave mechanics, milnes method, local, momentum, scattering
IdentifiersURN: urn:nbn:se:kth:diva-18671DOI: 10.1140/epjd/e2009-00203-9ISI: 000268789000006ScopusID: 2-s2.0-68949135215OAI: oai:DiVA.org:kth-18671DiVA: diva2:336718
QC 201005252010-08-052010-08-052011-01-17Bibliographically approved