Timeline for Quantum mechanics outside $L^{2}$ spaces
Current License: CC BY-SA 4.0
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jun 20, 2022 at 18:46 | answer | added | Yonah Borns-Weil | timeline score: 6 | |
| Jul 18, 2021 at 18:02 | comment | added | jjcale | In practical calculations (e.g. in scattering theory) it might be convenient to work outside $L^{2}$ spaces . But this doesn't mean, that the quantum theory lives outside a Hilbert space. To my knowledge you need a Hilbert space to implement the Born rule. | |
| Jul 18, 2021 at 14:45 | comment | added | Aaron Bergman | You’d need rigged Hilbert spaces to explicitly translate that expression into rigorous math, but pretty much anything you can do with it can be understand in terms of the spectral theorem. | |
| Jul 18, 2021 at 4:44 | comment | added | MathMath | Aaron, it is not clear to me why the answers to the other post indicate that all this can be translated. For example, it is not clear how the continuous spectrum expansion (\ref{1}) can be justified using, seu, the spectral theorem. | |
| Jul 18, 2021 at 4:42 | history | edited | MathMath | CC BY-SA 4.0 |
added 17 characters in body
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| Jul 17, 2021 at 20:01 | comment | added | Aaron Bergman | As is indicated in the answer to the other question you asked, this can all be translated into spectral theory of unbounded operators, which is completely rigorous. | |
| Jul 17, 2021 at 19:36 | history | asked | MathMath | CC BY-SA 4.0 |