Can anyone give an mathematical elaboration of the following statement:
Quantization is a functor carrying the category of Hilbert space and linear maps to that of Symplectic manifolds satisfying some conditions specified by laws of Physics.
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1$\begingroup$ Related: mathoverflow.net/q/6200 and mathoverflow.net/q/8606 $\endgroup$– Qmechanic ♦May 25, 2013 at 9:23
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1$\begingroup$ where is that statement taken from? $\endgroup$– PrathyushMay 25, 2013 at 13:41
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10$\begingroup$ That's not quantization. The direction is backwards. $\endgroup$– user1504May 25, 2013 at 16:05
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1$\begingroup$ See also Geometric Quantization, and a article by John Baez $\endgroup$– TrimokMay 27, 2013 at 10:20
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1$\begingroup$ See also Bates and Weinstein $\endgroup$– TrimokMay 27, 2013 at 10:33
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