Timeline for What is the Noether continuous symmetry associated with the conservation of total particle number for a free complex Klein-Gordon field?
Current License: CC BY-SA 4.0
8 events
when toggle format | what | by | license | comment | |
---|---|---|---|---|---|
Mar 29, 2022 at 19:12 | comment | added | Alex Gower | If you could though that would be amazing | |
Mar 29, 2022 at 17:38 | comment | added | Alex Gower | Oh I see, but ultimately this problem is very messy to show easily? | |
Mar 29, 2022 at 17:36 | comment | added | Qmechanic♦ | Well, it becomes a Poisson bracket. | |
Mar 29, 2022 at 17:35 | history | edited | Qmechanic♦ | CC BY-SA 4.0 |
Added explanation
|
Mar 29, 2022 at 17:26 | comment | added | Alex Gower | I'm probably being stupid, but wouldn't the commutator evaluate to 0 for classical fields? | |
Mar 29, 2022 at 17:02 | comment | added | Qmechanic♦ | Yes, or its classical counterpart. | |
Mar 29, 2022 at 16:57 | comment | added | Alex Gower | I'm not quite sure how to use this symmetry to get the Noether current. Are you saying that the symmetry is $$\phi(x) \rightarrow \epsilon \int dp \hat a^\dagger_p \hat a_p \phi(x) - \epsilon \phi(x) \int dp \hat a^\dagger_p \hat a_p$$ or something? | |
Mar 29, 2022 at 16:20 | history | answered | Qmechanic♦ | CC BY-SA 4.0 |