Density matrix interpretation of solutions of Lie-Nambu equations

Details Density matrix interpretation of solutions of Lie-Nambu equations Density matrix interpretation of solutions of Lie-Nambu equations

1997-07-04

arxiv.org/abs/quant-ph/9707013v2

Physics

Quantum Physics

final version, to be published in Phys. Lett. A 239 No. 6, pp. 353-358 (16 March 1998)

Scientific paper

10.1016/S0375-9601(98)00047-4

The spectrum of a density matrix $\rho(t)$ is conserved by a Lie-Nambu
dynamics if $\rho(t)$ 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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