Abstract
It is shown that the Schrödinger equation with a logarithmic nonlinearity proposed originally by Birula and Mycielski can be derived within the context of stochastic mechanics. Several important properties of this nonlinear model are easily analyzed by means of the stochastic interpretation, in particular the separability of the evolution equation and its classical limit. The expression for the energy is obtained on the basis of a stochastic variational principle developed by Yasue.
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