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--- lindbald-master-equation [May 22, 2026 at 23:36] – created Ivan Janevski
+++ lindbald-master-equation [May 22, 2026 at 23:40] (current) – Ivan Janevski
@@ Line 1: / Line 1: @@
 # Lindbald master equation
-**Lindbald master equation** is the equation that generalizes the Schrodinger equation
+**Lindbald master equation** is the equation that generalizes the Schrodinger equation.
+The following is the equation written in terms of density matrix $\rho$.
+$$\frac{d\rho}{dt} = -\frac{i}{\hbar}[H, \rho] + \sum_k\left(L_k^\dagger L_k - \frac{1}{2}\{L_k^\dagger L_k, \rho\}\right)$$
-$$\frac{d\rho}{dt} = -\frac{i}{\hbar}[H, \rho] - \sum_k\left(L_k^\dagger L_k - \frac{1}{2}\{L_k^\dagger L_k, \rho\}\right)$$