The relations between various treatments of the classical linearly damped harmonic
oscillator and its quantization are investigated. In the course of a historical survey typical …

[en] The paper re-examines critically the problem of the equivalence between the stochastic
and the quantum-mechanical descriptions of the evolution of physical systems. After a short …

This lecture is meant as an introduction to stochastic mechanics for graduate students. The
concepts and most of the statements are formulated in precise and exact mathematical …

For two classical Brownian particles an analog of continuous-variable quantum
entanglement is presented: The common probability distribution of the two coordinates and …

An uncertainty relation between energy and temperature was first mentioned by Bohr, taken
up quantitatively by Rosenfeld, and recently shown by Lindhard to hold for special …

The stochastic differential equation of Nelson's stochastic mechanics is integrated
numerically for several simple quantum systems. The calculations are performed with use of …

We formulate from first principles a theory of stochastic processes in configuration space.
The fundamental equations of the theory are an equation of motion which generalizes …

The dynamics and kinematics of reciprocal diffusions were examined in a previous paper [J.
Math. Phys. 34, 1846 (1993)], where it was shown that reciprocal diffusions admit a chain of …

We analyze a simple velocity dependent potential in the framework of stochastic mechanics.
A nonlinear Schrodinger-Langevin equation is obtained. This equation turns out to have …

The Weyl transform in relativistic quantum dynamics is formulated in terms of the coordinate
eigenfunction and momentum eigenfunction that correspond to the ordinary and magnetic …