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Questions on various methods and aspects of quantization

2 votes
1 answer
754 views

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. …
Sadiq Ahmed's user avatar
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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. …
Sadiq Ahmed's user avatar
-1 votes
2 answers
684 views

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? …
Sadiq Ahmed's user avatar