Derive quantum Liouville equation. Write this equation for the Steady state.

The quantum Liouville equation describes the time evolution of the density matrix in quantum statistical mechanics. It is analogous to the classical Liouville equation, but adapted to quantum systems using operators rather than classical phase-space variables. The equation can be derived from the von Neumann equation, which _______ ______ _____ ________ ___ ______ __________ _________ ___ ______.
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