Partial wave analysis of the first order Born amplitude of a Dirac particle in an Aharonov-Bohm potential
PHYSICAL REVIEW D, vol.67, no.10, 2003 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 67 Issue: 10
- Publication Date: 2003
- Doi Number: 10.1103/physrevd.67.105019
- Journal Name: PHYSICAL REVIEW D
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Open Archive Collection: AVESIS Open Access Collection
- Middle East Technical University Affiliated: No
Abstract
A partial wave analysis using the basis of the total angular momentum operator J(3) is carried out for the first order Born amplitude of a Dirac particle in an Aharonov-Bohm potential. It is demonstrated that the s partial wave contributes to the scattering amplitude in contrast with the case with scalar nonrelativistic particles. We suggest that this explains the fact that the first order Born amplitude of a Dirac particle coincides with the exact amplitude expanded to the same order, where it does not for a scalar particle. An interesting algebra involving the Dirac velocity operator and the angular observables is discovered and its consequences are exploited.