Timeline for From symplectic manifold to Hilbert spaces [closed]
Current License: CC BY-SA 3.0
10 events
| when toggle format | what | by | license | comment | |
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| Sep 17, 2015 at 16:09 | history | closed |
Francois Ziegler José Figueroa-O'Farrill Ryan Budney Will Sawin David Loeffler |
Needs more focus | |
| Sep 17, 2015 at 12:33 | comment | added | Max | Thank you user40276 , I will take a look! Some people wants to close the question :) feel free. | |
| Sep 17, 2015 at 11:39 | comment | added | user40276 | Well, I think you should look first at Dirac axioms. There are three axioms (see here math.berkeley.edu/~alanw/GofQ.pdf in page 81). The point is that it's not possible, in general, to satisfy all the axioms, so we just require some of them and we get different approaches to quantization. Depending on the kind of quantum field theory of prefers one kind instead of the other. | |
| Sep 17, 2015 at 9:10 | comment | added | Max | I'm not a physicist, what I wrote was explained to me by a physicist. He shared his wish. I do think that the written one look really to the one that the physicists wants. In a mathematical text book, it is more about what is convenient for mathematicians, and I'm not sure that is has something to do with what physicists are looking for. | |
| Sep 17, 2015 at 9:08 | comment | added | user40276 | Well, I think you should point what exactly you want to do, so you can choose a suitable quantization. Until now, as I understand, the most formal non-perturbative method is deformation quantization, however in general (in infinite degrees of freedom) the star product does not exist (and so people work with power series instead of C^{*}-algebras, but this is perturbative, so I don't think this have any physical significance in reality). | |
| Sep 17, 2015 at 9:03 | comment | added | Max | @user40276 Thanks for the link, In some article of ncatlab I can't see what is really important about a subject, at the end I get more confused :). Anyway, I did notice that the functorial (categorical) approach looks useless.. I was looking for another opinion about this subject. | |
| Sep 17, 2015 at 8:39 | comment | added | user40276 | In general, quantization is not a functor. There are several procedures of quantization, so this question is too broad. See for instance ncatlab.org/nlab/show/quantization | |
| Sep 17, 2015 at 8:03 | review | Close votes | |||
| Sep 17, 2015 at 16:09 | |||||
| Sep 17, 2015 at 7:44 | history | edited | Max | CC BY-SA 3.0 |
deleted 6 characters in body
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| Sep 17, 2015 at 7:15 | history | asked | Max | CC BY-SA 3.0 |