If I express a Hamiltonian $H$ in units of Hz by dividing the energy terms in the Hamiltonian by hbar $\tilde{H}=\dfrac{H}{\hbar}$ which means you set $\hbar =1$. Then what are the units of time? Also let's say you wanted to calculate the evolution of a system with $U=e^{i/\hbar H t}$ between $t = 1$ to $t=10$ s. What numbers do you have to use for $t$ when $\tilde{U}=e^{i \tilde{H} t}$. Do you have to multiply $t$ with $\hbar$ to obtain the same results?