caa a22 4500 46319750X CHVBK 20180406164926.0 cr unu---uuuuu 170326e20070201xx s 000 0 eng 10.1007/s10773-006-9246-5 doi (NATIONALLICENCE)springer-10.1007/s10773-006-9246-5 Shikakhwa M. Department of Physics, University of Jordan, 11942, Amman, Jordan aut Dirac Particle in an Aharonov-Bohm Potential: The Structure of the First Order S-matrix [Elektronische Daten] [M. Shikakhwa] The structure of the interaction Hamiltonian in the first order S-matrix element of a Dirac particle in an Aharonov-Bohm (AB) field is analyzed and shown to have interesting interesting algebraic properties. It is demonstrated that as a consequence of these properties, this interaction Hamiltonian splits both the incident and outgoing waves in the the first order $$S-$matrix into their $\frac{\Sigma_3}{2}-$$ components (eigenstates of the third component of the spin). The matrix element can then be viewed as the sum of two transitions taking place in these two channels of the spin. At the level of partial waves, each partial wave of the conserved total angular momentum is split into two partial waves of the orbital angular momentum in a manner consistent with the conservation of the total angular momentum quantum number. Springer Science+Business Media, LLC, 2007 Aharonov-Bohm scattering nationallicence Scattering matrix nationallicence International Journal of Theoretical Physics Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 46/2(2007-02-01), 405-416 0020-7748 46:2<405 2007 46 10773 https://doi.org/10.1007/s10773-006-9246-5 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10773-006-9246-5 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Shikakhwa M. Department of Physics, University of Jordan, 11942, Amman, Jordan aut NATIONALLICENCE 773 0- International Journal of Theoretical Physics Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 46/2(2007-02-01), 405-416 0020-7748 46:2<405 2007 46 10773 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer