Timeline for Meaning of $\int \phi^\dagger \hat A \psi \:\mathrm dx$
Current License: CC BY-SA 3.0
11 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jan 28, 2013 at 14:25 | comment | added | Ondřej Černotík | @Manishearth Glad it helped :) | |
| Jan 28, 2013 at 14:24 | comment | added | Manishearth | Great edit, the whole concept makes a lot more sense to me now. I like the "weighted expectation value" interpretation :) | |
| Jan 28, 2013 at 14:21 | vote | accept | Manishearth | ||
| Jan 28, 2013 at 14:13 | history | edited | Ondřej Černotík | CC BY-SA 3.0 |
added 1659 characters in body
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| Jan 28, 2013 at 9:53 | comment | added | Ondřej Černotík | @daaxix Thanks for the observation, I'll edit it to the answer :) | |
| Jan 28, 2013 at 0:23 | comment | added | daaxix | The interpretation of the first integral is exactly the sum $\sum C_k\langle \hat{A}\rangle$, or the sum of expectation values over a canonical orthogonal wavefunction basis, where both $\phi$ and $\psi$ can be represented in that orthogonal basis. So it is sort of like a weighted expectation value, weighted by the respective wavefunctions $\phi$ and $\psi$. | |
| Jan 27, 2013 at 18:31 | comment | added | Ondřej Černotík | It's not a big deal, there are just several possibilities and I think it's better to treat them separately.. | |
| Jan 27, 2013 at 17:29 | comment | added | Manishearth | @Ondejernotík: "Not a completely general one" -- that's intriguing, my interest is piqued :) No problem, add it whenever you have the time.. | |
| Jan 27, 2013 at 17:28 | comment | added | Ondřej Černotík | Not a completely general one, as far as I know. I'll try and add something more on the topic tomorrow, don't have much time now... | |
| Jan 27, 2013 at 17:24 | comment | added | Manishearth | Thanks for your answer (I'll accept tomorrow after giving others a chance to answer). Is there any way to interpret $\hat A|\psi\rangle$? Even a slightly mathematical/complicated explanation would do (editing it into your answer would be nice) | |
| Jan 27, 2013 at 13:52 | history | answered | Ondřej Černotík | CC BY-SA 3.0 |