Timeline for Problem of quantization: state of the art [closed]
Current License: CC BY-SA 3.0
11 events
when toggle format | what | by | license | comment | |
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Sep 17, 2012 at 17:07 | comment | added | Alexander Chervov | Forget to say there is Nick Landsman's book books.google.ru/books/about/… Mathematical Topics Between Classical and Quantum Mechanics a friend of mine said this is good book | |
Sep 17, 2012 at 10:06 | comment | added | Alexander Chervov | Continued. There are recent papers by Witten and Gukov which somewhat propose new approach to the quantization theory, at least introduction to might be partly accessible. There are surveys by Cattaneo dialnet.unirioja.es/servlet/articulo?codigo=3139837 From topological field theory to deformation quantization and reduction arxiv.org/abs/math/0701378 Deformation Quantization and Reduction | |
Sep 17, 2012 at 9:52 | comment | added | Alexander Chervov | @Sadiq Ahmed Well, I'm afraid I do not know one or even several texts which I would say good for beginners... But I did not follow literature for a while. One problem is fragmentation: geometric/deformation/BerezinToeplitz... quantizations, while good points (imho) there QUANTIZATION and some particular methods which are useful in some cases... Another problem is that some works like Kontsevich-Felder-Catteneo-coathors are really used quite difficult technique. Here are some references for geom. quantiz: mathoverflow.net/questions/104034/… | |
Sep 17, 2012 at 8:21 | history | edited | Sadiq Ahmed |
Added tag.
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Sep 17, 2012 at 8:17 | comment | added | Sadiq Ahmed | @Alexander: Can you suggest any reading (book/s, paper/s, etc.) for a beginner to this area? | |
Sep 16, 2012 at 19:24 | comment | added | Alexander Chervov | I think it is good question .... | |
Sep 16, 2012 at 18:00 | history | closed |
Michael Renardy Steven Landsburg Bill Johnson Evan Jenkins Todd Trimble |
not a real question | |
Sep 16, 2012 at 17:30 | answer | added | Alexander Chervov | timeline score: 10 | |
Sep 16, 2012 at 16:33 | comment | added | Sadiq Ahmed | Essentially, updates on current research on the methods listed in arxiv.org/abs/math-ph/0405065. | |
Sep 16, 2012 at 16:03 | comment | added | user25309 | Quantization of what ? It is totally unprecise. Quantization can refer to many parts of mathematics (and physics of course ...) | |
Sep 16, 2012 at 15:37 | history | asked | Sadiq Ahmed | CC BY-SA 3.0 |