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Results tagged with quantization
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user 10446
Questions on various methods and aspects of quantization
10
votes
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. …
- 24.9k
10
votes
Accepted
basic questions on quantum integrable systems
In general you may not consider $\mathbb{R}^{2n}$, but some symplectic manifold, and deformation quantization of algebra of functions on it. … Quantization of integrable system - is again looking for $\hat H_i$ in quantum algebra corresponding to $H_i$ in algebra of functions on symplectic manifold. …
- 24.9k
5
votes
Higgs mechanism from a deformation quantization point of view
I think that everybody who just starts looking to "quantization related things" will be at first moment be overhelmed by various words "deformation quantization" "geometric quantization" "secondary quantization … [p,q]=1 so deformation quantization coincide with "canonical quantization",
and in this case it brings nothing new to what physitits knew starting from the times of Heisenberg, Pauli, Dirac ~1930... …
- 24.9k
3
votes
Quantization of a classical system (e.g. the case of a billiard)
I think the question has many faces: 1) general principles of correspondence classical to quantum world 2) quite a concrete question about boundary conditions for quantization of billiards. …
- 24.9k