2004/05/24 by M. S. Shikakhwa, Shikakhwa, M. S.
Engineering · Mathematics · Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Molecular Junctions and Nanostructures #Quantum Mechanics and Non-Hermitian Physics #Quantum Physics (quant-ph) #Quantum optics and atomic interactions #hep-th #math-ph #math.MP #quant-ph
paper · pdf · doi:10.48550/arxiv.hep-th/0405207
11 pages, to appear in IJTP. Title, abstract and introduction slightly modified
openalex publication_date 2004/05/24 · arxiv created 2006/08/05 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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 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 (Σ3)/(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.