Timeline for Why do we need infinite-dimensional Hilbert spaces in physics?
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| Oct 16, 2018 at 11:20 | comment | added | Emilio Pisanty | @Girish My work on the subject is already linked in this answer. (Though by now that paper is a bit dated and I've not worked on the topic since. Not that the field moves that fast, either - indeed the one citation to my paper describes it as "recent".) Any references I could provide are already linked in either of those links. | |
| Oct 16, 2018 at 10:25 | comment | added | Girish Kulkarni | Hello Emilio, I am working on a finite-dimensional representation for position and momentum of the kind that you have described here. Do you know any references which work this out in detail? I am aware of the Pegg-Barnett papers for phase and rotation angles, and understand that a similar treatment can be made for x and p too. But I could not find any papers on this. Please let me know if you are aware of any such studies. | |
| Apr 13, 2017 at 12:39 | history | edited | CommunityBot |
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| Dec 1, 2014 at 16:57 | history | answered | Emilio Pisanty | CC BY-SA 3.0 |