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Phase-integral method for the radial Dirac equation
KTH, School of Technology and Health (STH), Basic Science and Biomedicine.ORCID iD: 0000-0002-5610-8323
2014 (English)In: Journal of Mathematical Physics, ISSN 0022-2488, E-ISSN 1089-7658, Vol. 55, 092303- p.Article in journal (Refereed) Published
Abstract [en]

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.
Keyword [en]
Dirac equation, WKB approximation
National Category
Physical Sciences
Research subject
Physics
Identifiers
URN: urn:nbn:se:kth:diva-151313DOI: 10.1063/1.4895575ISI: 000342849600021Scopus ID: 2-s2.0-84907221033OAI: oai:DiVA.org:kth-151313DiVA: diva2:747866
Note

QC 20140918

Available from: 2014-09-17 Created: 2014-09-17 Last updated: 2017-12-05Bibliographically approved

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CiteExportLink to record
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