Recent content by rudaguerman

Thanks for Answer. The question is concerning the sparcity of the matrix representation of the propagator in a improper basis set. for practical matters, a way to perform practical computation using propagators is represent it in a conveniently chosen basis set and work with a matrix...

Considering the real-time quantum propagator originated by the green's function of the time-dependent Schrödinger equation: i\hbar \frac{d\psi}{dt} =H\psi namely, \psi(t) =e^{-i\hbar H t}\psi(0) it is straightforward to see that using as basis set the eigenvector of H\phi_k...