Nonlinear von Neumann-type equations

Details Nonlinear von Neumann-type equations Nonlinear von Neumann-type equations

1999-04-30

arxiv.org/abs/quant-ph/9904110v1

Physics

Quantum Physics

To be published in "New insights in quantum mechanics", H.D. Doebner, S.T. Ali, M. Keyl, and R.F. Werner, eds. (World Scientif

Scientific paper

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.

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