Timeline for Prove time-dependent hamiltonian is hermitian from unitarity of time-evolution operator
Current License: CC BY-SA 3.0
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| Dec 18, 2015 at 18:07 | comment | added | higgsss | Differentiating $U(t,s) U(s,t) = I$ with respect to $t$ and then rearranging a little gives you $\partial_{t}U(t,s) = - U(t,s) \partial_{t}U(s,t) U(t,s)$. Substituting this in the first equation of (*), then multiplying both sides by $U(s,t)$ on the left as well as on the right, and finally exchanging the variables $t$ and $s$ show that $H(s) = H(s)^{\ast}$. | |
| Dec 18, 2015 at 17:38 | history | answered | yuggib | CC BY-SA 3.0 |