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Results tagged with mp.mathematical-physics
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user 61197
Mathematical methods in classical mechanics, classical and quantum field theory, quantum mechanics, statistical mechanics, condensed matter, nuclear and atomic physics.
15
votes
1
answer
932
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Associativity of Kontsevich's star product up to second order
In Deformation quantization of Poisson manifolds, Kontsevich gives the quantization formula
$$f \star g = \sum_{n=0}^\infty \hbar^n \sum_{\Gamma \in G_n} w_\Gamma B_{\Gamma,\alpha}(f,g).$$
He gives …
- 832
6
votes
Accepted
Associativity of Kontsevich's star product up to second order
The answer is that the black underlined terms do not cancel.
Instead, they contribute an extra term which gives precisely the Jacobi identity (times $2/3$).
(The reason I missed this is that I prev …
- 832