A remark on the connection between stochastic mechanics and the heat equation
- 1 October 1974
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 15 (10) , 1745-1747
- https://doi.org/10.1063/1.1666536
Abstract
We prove that the solution of Nelson's stochastic mechanics equation associated with any stationary solution ψ of the Schrödinger equation is the homogeneous Markov process of the heat equation with Dirichlet boundary condition on the hypersurface ψ=0.Keywords
This publication has 2 references indexed in Scilit:
- New Interpretation of the Euclidean-Markov Field in the Framework of Physical Minkowski Space-TimePhysical Review Letters, 1973
- Derivation of the Schrödinger Equation from Newtonian MechanicsPhysical Review B, 1966