Annotation
				Exact relationships are derived by the Gibbs' method for calculating the fluctuations and correlations of quantum systems. A fluctuation-dissipation theorem is obtained without using perturbation theory. The re sults are used to calculate the mean square displacement of Brownian motion.
						© 2016 Publisher M.V.Lomonosov Moscow State University
				
					Authors
				Nguen Tang
Department of Theoretical Physics
				Department of Theoretical Physics



