Hierarchical equations of motion: Difference between revisions

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where <math> \Theta </math> destroys system excitation and hence can be referred to as the relaxation operator.
 
:<math> \hat{\Theta} = -\frac{n\eta\gamma}{\beta} \big( \hat{V}^{\times} - i \frac{\beta\hbar\gamma}{2} \hat{V}^{\circ }\big) </math>
 
The second term in <math>\hat{\Theta} </math> is the temperature correction term with the inverse temperature <math> \beta = 1/k_B T</math> and the "Hyper-operator" notation is introduced.