Starting from a quantum Langevin equation of a charged particle in a m
agnetic field we present a fully dynamical calculation of the orbital
diamagnetism, from which the effect of dissipation on Landau diamagnet
ism can be assessed. The treatment throws light on subtle issues of co
nfined boundaries and the approach to equilibrium of a quantum dissipa
tive system. Additional results are presented for the diamagnetism in
a confined parabolic potential.