Quantum circa-rhythms
Biological Physics
2007-05-23 v2 Adaptation and Self-Organizing Systems
Exactly Solvable and Integrable Systems
Quantitative Methods
Quantum Physics
Abstract
A class of solutions of nonlinear von Neumann equations exhibits rhythmic properties analogous to those found for nonlinear kinetic equations employed in phenomenological description of biochemical oscillations. As opposed to kinetic equations, typically solved numerically and involving Hill-type nonlinearities, our exact solutions are derived by means of soliton techniques and involve a simple quadratic nonlinearity.
Cite
@article{arxiv.physics/0310009,
title = {Quantum circa-rhythms},
author = {Diederik Aerts and Marek Czachor and Monika Syty},
journal= {arXiv preprint arXiv:physics/0310009},
year = {2007}
}
Comments
revtex4, 7 eps figures