LIMITING ANALYTIC FORM FOR AN AHARONOV-BOHM DIFFRACTION PATTERN

We consider a two-slit diffraction experiment with a magnetic flux con fined to an inaccessible region between two rectangular slits. We then obtain a leading-order analytic form for the asymmetry in the resulti ng diffraction pattern. The corrections to the expression are bounded and disappear in the limit of long wavelengths and/or infinite source- slit-screen spacing. Using the analytic form obtained, we obtain a non zero value for the asymmetry in the number of electrons scattered to t he left and to the right but a zero value for their average displaceme nt.