THE NONRELATIVISTIC CHARGED BOSE-GAS IN A MAGNETIC-FIELD .1. FORMALISM

The polarisation tenser for the non-relativistic charged Bose gas in a uniform magnetic field is derived by using a gauge-independent second -quantised Hamiltonian approach in the random phase or one loop approx imation. We utilise the tenser's gauge invariant and symmetric propert ies to develop expressions for the dielectric tenser, the longitudinal dielectric response function, and the transverse dielectric response functions corresponding to photon propagation perpendicular and parall el to the magnetic field, so that detailed examinations of both the lo ngitudinal and transverse properties of the system at T=0 K and at fin ite temperatures may follow. (C) 1994 Academic Press, Inc.