Dirac Particle in an Aharonov-Bohm Potential: The Structure of the First Order S-matrix |
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Authors: | M S Shikakhwa |
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Institution: | (1) Department of Physics, University of Jordan, 11942 Amman, Jordan |
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Abstract: | 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 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. |
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Keywords: | Aharonov-Bohm scattering Scattering matrix |
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