CASIMIR FORCE BETWEEN 2 AHARONOV-BOHM SOLENOIDS

The vacuum structure for the massive charged scalar field in the regio n of two parallel, infinitely long and thin solenoids confining the fl uxes n1 and n2 is studied. By using the Green.function method, it is f ound that the vacuum expectation value of the system's energy has a fi nite mutual interaction term depending on the distance a between the s olenoids, which implies an attractive force per unit length given by F (n1n2) = - (hcBAR/pi2)(n1n2)2/a3.