Phase-integral method for the radial Dirac equation
2014 (English)In: Journal of Mathematical Physics, ISSN 0022-2488, E-ISSN 1089-7658, Vol. 55, 092303- p.Article in journal (Refereed) Published
A phase-integral (WKB) solution of the radial Dirac equation is calculated up to the third order of approximation, retaining perfect symmetry between the two components of the wave function and introducing no singularities except at the zeroth-order transition points. The potential is allowed to be of scalar, vector, or tensor type, or any combination of these. The connection problem is investigated in detail. Explicit formulas are given for single-turning-point phase shifts and single-well energy levels.
Place, publisher, year, edition, pages
American Institute of Physics (AIP), 2014. Vol. 55, 092303- p.
Dirac equation, WKB approximation
Research subject Physics
IdentifiersURN: urn:nbn:se:kth:diva-151313DOI: 10.1063/1.4895575ISI: 000342849600021ScopusID: 2-s2.0-84907221033OAI: oai:DiVA.org:kth-151313DiVA: diva2:747866
QC 201409182014-09-172014-09-172014-11-06Bibliographically approved