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Questions on various methods and aspects of quantization
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Problem of quantization: state of the art [closed]
As the title suggests, I'm interested in finding out the state-of-the-art in the problem of quantization.
Any suggestions and/or feedback would be greatly appreciated.
Regards. …
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Accepted
Problem of quantization: state of the art
Morally quantization is a bridge between commutative and non-commutative worlds. … Berezin-Toeplitz quantization needs to choose complex structure on symplectic manifold to processed. Geometric quantization needs choice of the polarization. …
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Problem of quantization: state of the art
The "problem of quantization":
Find a vector space $Obs$ (as large as possible) of real-valued functions $f(p, q)$ on $R^{2n}$, containing the coordinate functions $p_j$ and $q_j$ $(j = 1, . . . , … Ref: Quantization Methods: A Guide for Physicists and Analysts, pp. 2-3, [math-ph/0405065]
To researchers in this area:
What is the current state-of-the-art in this area? …