THERE IS NO QUANTUM REGRESSION THEOREM

The Onsager regression hypothesis states that the regression of fluctu ations is governed by macroscopic equations describing the approach to equilibrium. It is here asserted that this hypothesis fails in the qu antum case. This is shown first by explicit calculation for the exampl e of quantum Brownian motion of an oscillator and then in general from the fluctuation-dissipation theorem. It is asserted that the correct generalization of the Onsager hypothesis is the fluctuation-dissipatio n theorem.