Timeline for Derivative of a time evolution operator w.r.t. a parameter
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Apr 29, 2015 at 17:30 | vote | accept | Joonas Ilmavirta | ||
| Apr 29, 2015 at 14:13 | comment | added | Christian Remling | You can just differentiate the ODE solved by $U$ wrt $y$ and then apply variation of constants. That this is correct is discussed in any advanced ODE text (for example, Coddington-Levinson). | |
| Apr 29, 2015 at 13:32 | answer | added | Willie Wong | timeline score: 2 | |
| Apr 29, 2015 at 12:42 | comment | added | Willie Wong | In the case that $H$ is time-independent (so independent of $x$), I think your formula is the same as Theorem 2.19 in section IX.2.6 in Kato's Perturbation theory. | |
| Apr 29, 2015 at 10:19 | comment | added | Willie Wong | That formula looks awfully familiar. If I remember where I've seen it before I'll post a reference. | |
| Apr 29, 2015 at 9:47 | history | asked | Joonas Ilmavirta | CC BY-SA 3.0 |