CONNECTION BETWEEN LANGEVIN QUANTIZATION AND CLASSICAL MECHANICS

Recently, a novel quantization technique has been put forward, which y ields the imaginary-time quantum-mechanical propagator as a noise aver age involving the solutions of a Langevin equation in configuration sp ace with a Gaussian white noise. Contrary to previous attempts, this s trategy does not require any knowledge about the ground-state quantum dynamics. Our aim is to show that this approach can be cast in a diffe rent form, which exhibits a manifest connection with classical mechani cs (at imaginary time). The advantages of this strategy are pointed ou t and illustrated by taking the harmonic oscillator as an example.