Timeline for How to implement a Hilbert space on a manifold?
Current License: CC BY-SA 4.0
12 events
| when toggle format | what | by | license | comment | |
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| Feb 26, 2022 at 20:13 | answer | added | Mozibur Ullah | timeline score: 2 | |
| Feb 26, 2022 at 19:33 | history | edited | Níckolas Alves | CC BY-SA 4.0 |
Minor typo corrections, improved formatting
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| Feb 26, 2022 at 19:29 | comment | added | Níckolas Alves | Related: Hilbert Space and distribution theory in QFT | |
| Dec 29, 2021 at 20:56 | vote | accept | tonetillo 4 | ||
| Dec 29, 2021 at 9:00 | history | tweeted | twitter.com/StackPhysics/status/1476115809093263362 | ||
| Dec 29, 2021 at 7:13 | history | edited | Qmechanic♦ |
edited tags
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| Dec 29, 2021 at 6:26 | answer | added | Níckolas Alves | timeline score: 12 | |
| Dec 15, 2021 at 12:31 | comment | added | tonetillo 4 | @Slereah, does geometric quantization also quantize quantum field theory wavefunctions? Up to know, I've only seen examples of the quantization of observables in the regular quantum mechanical theory. | |
| Dec 14, 2021 at 12:57 | comment | added | G. Blaickner | As mentioned in the comments above, geometric quantization is definitely something you might be interested in. Furthermore, let me just mention that the tangent space of a manifold is always a finite-dimensional vector space. However, in quantum mechanics we usually deal with infinite-dimensional Hilbert spaces. Hence, there is not such a direct application to quantum mechanics or QFT as you suggest. Mathematically, there is also the notion of "Hilbert manifolds", which are spaces locally homeomorphic to Hilbert spaces (see for example "infinite-dimensional manifolds" on wikipedia) | |
| Dec 9, 2021 at 10:14 | comment | added | Slereah | If you want the fancy geometric process for this you can look up what is called geometric quantization | |
| Dec 9, 2021 at 9:34 | history | edited | Qmechanic♦ | CC BY-SA 4.0 |
Res. recom. qs can usually not be mixed with actual physics qs; edited tags
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| Dec 9, 2021 at 9:24 | history | asked | tonetillo 4 | CC BY-SA 4.0 |