Perturbation Theory and the Aharonov-Bohm Effect

Abstract

The perturbation theory expansion of the Aharonov-Bohm scattering amplitude has previously been studied in the context of quantum mechanics for spin zero and spin-1/2 particles as well in Galilean covariant field theory. This problem is reconsidered in the framework of the model in which the flux line is considered to have a finite radius which is shrunk to zero at the end of the calculation. General agreement with earlier results is obtained but with the advantage of a treatment which unifies all the various subcases.

12 pages, TEX file, no figures

References in corpus (4)

• Aharonov-Bohm Scattering, Contact Interactions and Scale Invariance
• Perturbative Analysis of Nonabelian Aharonov-Bohm Scattering
• On $\delta$ perturbative interactions in the Aharonov-Bohm and Anyon Models
• Magnetic Moment and Perturbation Theory with Singular Magnetic Fields

Cited by in corpus (10)

• Super-Galilei Invariant Field Theories in 2+1 Dimensions
• Magnetic scattering of Dirac fermions in topological insulators and graphene
• Relativistic Corrections to the Aharonov-Bohm Scattering
• Quantum Description of Anyons: Role of Contact Terms
• Finite-size anyons and perturbation theory
• Perturbative Expansion in the Galilean Invariant Spin One-Half Chern-Simons Field Theory
• Consistency of the Born Approximation for the spin-1/2 Aharonov-Bohm Scattering
• Scattering of scalar and Dirac particles by a magnetic tube of finite radius
• Classical limit for the scattering of Dirac particles in a magnetic field
• Relativistic scalar Aharonov-Bohm scattering