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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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where is that statement taken from? –  Prathyush May 25 '13 at 13:41
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That's not quantization. The direction is backwards. –  user1504 May 25 '13 at 16:05
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See also Geometric Quantization, and a article by John Baez –  Trimok May 27 '13 at 10:20
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See also Bates and Weinstein –  Trimok May 27 '13 at 10:33

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