Momentum-position complementarity in stochastic mechanics

D. de Falco, S. De Martino, Silvio De Siena

Rob Clifton

R. Vilela Mendes

Diego de Falco, S. De Martino, Silvio De Siena

A simple inequality relating the root mean square deviations of position and osmotic velocity for a diffusion process is presented and, in the framework of Nelson's stochastic mechanics, is related to the Heisenberg position-momentum uncertainty relations.

Simon Golin

Position–momentum uncertainty in Nelson’s stochastic mechanics [Phys. Rev. 150, 1079 (1966)] has previously been investigated by de la Peña-Auerbach and Cetto [Phys. Lett. A 39, 65 (1972)]. In this paper their result is generalized, and full equivalence between the uncertainty relations in stochastic mechanics and conventional quantum mechanics is established. Force–momentum uncertainty is also considered.

Maaneli Derakhshani, Guido Bacciagaluppi