Abstract

A dynamical equation for the order parameter of superfluid helium at finite temperatures is derived quantum mechanically. This is done in the framework of the generalized theory of brownian motion by Mori. The statistical condensate (order parameter) is viewed as if it is a brownian particle in a fluctuating medium. An equation for the distribution has been derived. This equation allows a systematic derivation of the kinetic equation for the order parameter at finite temperatures, which is a generalization of the Landau-Khalatnikov equation for the superfluid order parameter.

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