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Results tagged with quantization
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user 10446
Questions on various methods and aspects of quantization
14
votes
1
answer
1k
views
Coherent states vs quantization of Lagrangian submanifold
I mean we should consider H=r, and choose such "r" which satisfies Bohr-Sommerfeld quantization condition i.e. symplectic form integrated over interior of H=r should be integer +1/2. … See e.g. http://arxiv.org/abs/1011.2218 Quantization via Mirror Symmetry
Sergei Gukov
There are actually different generalizations of the coherent states. …
- 24.8k
12
votes
2
answers
930
views
Is the quantum algebra unique (up to isomorphism) in deformation quantization ?
Let $\hat A$ be a deformation quantization of the algebra A. … The motivation to ask partly comes from MO-discussions here:
Quantization of a classical system (e.g. the case of a billard) …
- 24.8k
4
votes
0
answers
335
views
Quantization of $S^2$ as $C^*$-algebra?
on $\mathbb{R}^3=so(3)$ is universal enveloping algebra $U(so(3))$,
use "quantization commute with reduction" go back to quantization of $S^2$
from quantization of $\mathbb{R}^3$ as a factor algebra … The final step is go to quantization. …
- 24.8k
9
votes
0
answers
263
views
Existence/characterization/properties of $C^*$-algebras which "are" quantization of compact ...
Understanding of "quantization" achieved much progress recent years, especially after Kontsevich breakthrough on deformation quantization, where he proved one-to-one correspondence between Poisson brackets … Main belief: It is natural to believe that for a compact symplectic manifold $(M,\omega)$
one can construct a $C^*$-algebra which is "quantization" of the algebra of functions on $M$. …
- 24.8k