Nonlinear von Neumann-type equations
Quantum Physics
2007-05-23 v1 Exactly Solvable and Integrable Systems
solv-int
Abstract
We review some recent developments in the theory of nonlinear von Neumann equations. We distinguish between the von Neumann equation (which can be nonlinear) and the Liouville equation (which should be linear). Explicit examples illustrate the technique of binary Darboux integration of nonlinear density matrix equations and special attention is payed to the problem of how to find physically nontrivial `self-scattering' solutions.
Cite
@article{arxiv.quant-ph/9904110,
title = {Nonlinear von Neumann-type equations},
author = {Marek Czachor and Maciej Kuna and Sergiej B. Leble and Jan Naudts},
journal= {arXiv preprint arXiv:quant-ph/9904110},
year = {2007}
}
Comments
To be published in "New insights in quantum mechanics", H.D. Doebner, S.T. Ali, M. Keyl, and R.F. Werner, eds. (World Scientific, 1999); 3 eps figures, style goslar.cls included