Timeline for Independence of two noncommutative observables
Current License: CC BY-SA 3.0
4 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Mar 9, 2022 at 5:27 | comment | added | Cuhrazatee | Why is it that commuting variables can have non-zero covariances if they are also independent? | |
| Apr 12, 2017 at 0:08 | comment | added | Konstantinos Kanakoglou | $X$, $Y$ may be infinite dimensional and satisfy $XY-YX=Id$. This is the Weyl algebra and it is known to have infinite dimensional matrix representations: It is the heisenberg representation or in other words the matrix mechanics description of QM. | |
| Apr 2, 2017 at 0:21 | comment | added | T. Amdeberhan | It's perhaps helpful to mention that $X, Y$ are infinite dimensional operators (matrices). This way, things such as $XY-YX\neq Id$ are ensured. | |
| Apr 1, 2017 at 13:03 | history | answered | Carlo Beenakker | CC BY-SA 3.0 |