In the literature of Open Quantum System, one often comes across the following ($t_2>t_1,>0$):

Semi-group property of a map: $A(t_1+t_2,0) = A(t_2,0) A(t_1,0)$.

What does this mean physically, and why the name semi-group?


We have evolution equation :

$ \frac{dp_t}{dt}=Lp_t $

The solution is :

$ A_t=e^{tL} $

That satisfy composition law:

$ A_{t+s}=A_tA_s $


Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Not the answer you're looking for? Browse other questions tagged or ask your own question.