On nonlinear quantum mechanics, Brownian motion, Weyl geometry and fisher information. From: Progress in Physics | Date: January 1, 2006| Author: Castro, Carlos; Mahecha, Jorge | COPYRIGHT 2006 Progress in Physics. This material is published under license from the publisher through the Gale Group, Farmington Hills, Michigan.  All inquiries regarding rights should be directed to the Gale Group.Copyright information

A new nonlinear Schrodinger equation is obtained explicitly from the (fractal) Brownian motion of a massive particle with a complex-valued diffusion constant. Real-valued energy plane-wave solutions and solitons exist in the free particle case. One remarkable feature of this nonlinear Schrodinger equation based on a (fractal) Brownian motion model, over all the other nonlinear QM models, is that the quantummechanical energy functional coincides precisely with the field theory one. ...

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