Simplicity's eq
WebbEquation 5.2.4 is the Liouville-Von Neumann equation. It is isomorphic to the Heisenberg equation of motion, since ρ is also an operator. The solution to Equation 5.2.4 is. (5.2.5) ρ ( t) = U ρ ( 0) U †. This can be demonstrated by first integrating Equation 5.2.4 to obtain. (5.2.6) ρ ( t) = ρ ( 0) − i ℏ ∫ 0 t d τ [ H ( τ), ρ ( τ)]
Simplicity's eq
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