ON THE QUANTUM ELECTRODYNAMICS OF A DISPERSIVE MIRROR .2. THE BOUNDARY-CONDITION AND THE APPLIED FORCE VIA DIRACS THEORY OF CONSTRAINTS

A covariant Action describing a mobile dispersive mirror in one dimension is presented. We construct the Hamiltonian in the comoving (noninertial) frame, with emphasis on the treatment of the boundary condition. The Hamiltonian in the nonrelativistic approximation is derived. We consider the case where the mirror moves along a prescribed trajectory, and we calculate the operator expression For the force applied to the mirror by the external agency to balance the radiative reaction. (C) 1995 Academic Press, Inc.