  We study the Quantum Brownian motion of a charged particle moving in a
harmonic potential in the presence of an uniform external magnetic field and
linearly coupled to an Ohmic bath through momentum variables. We analyse the
growth of the mean square displacement of the particle in the classical high
temperature domain and in the quantum low temperature domain dominated by zero
point fluctuations. We also analyse the Position Response Function and the long
time tails of various correlation functions. We notice some distinctive
features, different from the usual case of a charged quantum Brownian particle
in a magnetic field and linearly coupled to an Ohmic bath via position
variables.
