dorsal/arxiv
View SchemaDensity matrix interpretation of solutions of Lie-Nambu equations
| Authors | Marek Czachor, Marcin Marciniak |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9707013 |
| URL | https://arxiv.org/abs/quant-ph/9707013 |
| DOI | 10.1016/S0375-9601(98)00047-4 |
Abstract
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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"abstract": "The spectrum of a density matrix $\\rho(t)$ is conserved by a Lie-Nambu\ndynamics if $\\rho(t)$ is a self-adjoint and Hilbert-Schmidt solution of a\nnonlinear triple-bracket equation. This generalizes to arbitrary separable\n(positive- and indefinite-metric) Hilbert spaces the previous result which was\nvalid for finite-dimensional Hilbert spaces.",
"arxiv_id": "quant-ph/9707013",
"authors": [
"Marek Czachor",
"Marcin Marciniak"
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"doi": "10.1016/S0375-9601(98)00047-4",
"title": "Density matrix interpretation of solutions of Lie-Nambu equations",
"url": "https://arxiv.org/abs/quant-ph/9707013"
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