Length of Quantum Trajectories
- 11 June 1984
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 52 (24) , 2107-2110
- https://doi.org/10.1103/physrevlett.52.2107
Abstract
A notion of length for quantum mechanical trajectories is introduced within the realm of stochastic mechanics. Using a stochastic calculus of variation, one shows that the geodesic dynamics is not the free one, but the quantum evolution in the time-dependent quadratic potential associated with the Wiener process in stochastic mechanics. The length for the free evolution is also examined.Keywords
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