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Density matrix interpretation of solutions of Lie-Nambu equations

Marek Czachor·Marcin Marciniak
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Abstract

The spectrum of a density matrix $ρ(t)$ is conserved by a Lie-Nambu dynamics if $ρ(t)$ is a self-adjoint and Hilbert-Schmidt solution of a nonlinear triple-bracket equation. This generalizes to arbitrary separable (positive- and indefinite-metric) Hilbert spaces the previous result which was valid for finite-dimensional Hilbert spaces.

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Marek Czachor, Marcin Marciniak. 1998-02-23. Density matrix interpretation of solutions of Lie-Nambu equations. https://doi.org/10.1016/s0375-9601(98)00047-4

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