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The Aharonov-Bohm effect has contributed greatly to the
understanding of the quantum-mechanical significance of vector
potentials and to the general appreciation of the role of the
phase of the wave function and other global topological
effects. At the experimental level, the Aharonov-Bohm phase
shift has been convincingly demonstrated to exist. The A-B
effect has, oflate, also received attention because of a
variety of applications ranging from high-T superconductivity
to cosmic strings. One of the questions that has emerged as a
result is the effect of inclusion of spin in A-B scattering. We
are going to solve the problems of A-B scattering of particles
with spin by the same methods in Chapter 2 and 3. There are
four kinds of particles with three kinds of spin considered
here, including spinless, spin-1/2 and spin-1. For all cases,
we intended to find the scattering amplitudes and cross
sections. In order to avoid complications arising from the
delta magnetic field, we replaced the field by one which is
spread out over a cylindrical shell with radius R. And finally
let R go to 0. Partial-wave analysis is the method we used to
solve the scattering amplitude. In chapter 4, we were tring to
explain the different results by means of the conservation of
fermion helicity.
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