Dirac Particle in an Aharonov-Bohm Potential: The Structure of the First Order S-matrix

Simple item page
dc.creatorShikakhwa, M. S.
dc.date2004-05-24
dc.date2006-08-05
dc.date.accessioned2026-07-07T06:36:39Z
dc.date.available2026-07-07T06:36:39Z
dc.descriptionThe 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 $\frac{Σ_3}{2}-$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.
dc.description11 pages, to appear in IJTP. Title, abstract and introduction slightly modified
dc.identifierhttps://arxiv.org/abs/hep-th/0405207
dc.identifierhttp://arxiv.org/abs/hep-th/0405207
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/100150
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.subjectQuantum Physics
dc.titleDirac Particle in an Aharonov-Bohm Potential: The Structure of the First Order S-matrix
dc.typetext

Files

Collections

arXiv