• Corpus ID: 16084497

# Nonlinear QM as a fractal Brownian motion with complex diffusion constant

@article{Castro2002NonlinearQA,
title={Nonlinear QM as a fractal Brownian motion with complex diffusion constant},
author={Carlos Castro and Jorge Mahecha and Boris A. Rodr{\'i}guez},
journal={arXiv: Quantum Physics},
year={2002}
}
• Published 5 February 2002
• Physics, Mathematics
• arXiv: Quantum Physics
A new nonlinear Schrodinger equation is obtained explicitly from the fractal Brownian motion of a massive particle with a complex-valued dif- fusion constant. Real-valued energy (momentum) plane wave and soliton solutions are found in the free particle case. The hydro-dynamical model analog yields another (new) nonlinear QM wave equation with physically meaningful soliton solutions. One remarkable feature of this nonlinear Schrodinger equation based on a fractal Brownian motion model, over all…
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### To the nonlinear QM. quant-ph/0111105

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