**Category:**

Research Papers

**Sub-Category:**

Quantum Theory / Particle Physics

**Date Published:**

November 23, 2012

**Keywords:**

Master equation, Quantum physics, Statistical mechanics

**Abstract:**

This paper deals with the time evolution of probability distributions in systems that are driven by small fluctuating forces. With the assumption that the strength of the fluctuating forces are small in comparison to the deterministic forces, which are varying very slow with
time, the quantum-mechanical propagation function and its change with time can be derived. This will lead to a system of integro-differential-equations, which contains propagation functions with different initial and final time points.

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