Density matrix interpretation of solutions of Lie-Nambu equations
Abstract
The spectrum of a density matrix (t) is conserved by a Lie-Nambu dynamics if (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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