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A question about Moyal product - Mathematics Stack Exchange
WEBLet me give you the naïve picture at least, which I hope partially answers your question; from what I understand, in the actual research literature on deformation quantisation, i.e., in noncommutative geometry à la Kontsevich, one takes a somewhat more flexible but technically more delicate and sophisticated approach to the same basic strategy.
Math.stackexchange.comAssociativity of Moyal-like products - Mathematics Stack Exchange
WEBThe star product of two smooth functions f, g on R2n can be defined as. f ⋆ g = exp(−ωij ∂ ∂yi ∂ ∂zj)f(y)g(z)|z=y. where ωij are the components of a symplectic form. There is a similar formula for the Clifford product (where instead of derivatives there are interior products) when translated to the exterior algebra.
Math.stackexchange.comConvergence of closed formula for Moyal product
WEBIt is often stated that the moyal product obeys the following identity (f1 ⋆ℏf2) = m ∘ eiℏ 2Π(f1 ⊗ f2) = ∞ ∑ k = 0(− iℏ)k 2kk! Bk(f1, f2) where Π is the bidifferential operator induced by the Poisson bivector and m is the multiplication map. However, many resources do not explain how to interpret the exponential on the right
Math.stackexchange.comWhat is the Kramers–Moyal expansion for the CDF (cumulative
WEBMar 17, 2023 · Derivation of Differential Chapman-Kolmogorov equation, Kramers-moyal expansion 0 Any cumulative distribution function on [0,1] is a convex combination of a continuous cdf and a discrete cdf?
Math.stackexchange.comDerivation of Differential Chapman-Kolmogorov equation, …
WEBI'm stuck with the derivation of the differential Chapman-Kolmogorov equation provided in Gardiner 1985, section 3.4. This is supposed to be some middle ground between the master equation and the F
Math.stackexchange.comProduct of 2 dirac delta functions - Mathematics Stack Exchange
WEBStack Exchange Network. Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers.
Math.stackexchange.comfunctional analysis - Domain issues with Weyl quantization
WEBStack Exchange Network. Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers.
Math.stackexchange.comProve that stochastic process trajectories are continuous
WEBMay 25, 2019 · Stack Exchange Network. Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers.
Math.stackexchange.comGiven Green's function, can I find the corresponding operator?
WEBJul 17, 2024 · Aside: the form of the Green's function is the moyal product of delta functions, i.e. $\delta(x-x')\star \delta(y-y')$. I'm curious if there exists an operator such that when it acts on the moyal product of delta functions give simply the product of delta functions.
Math.stackexchange.comcalculus - Improper Integral $\int_ {0}^ {\infty} \log (t) t^ {-\frac
WEBFeb 26, 2024 · Too long for a comment. Using the Frullani' integral $\,\,\displaystyle \ln (t)=-\int_0^\infty\frac{e^{-xt}-e^{-x}}xdx\,\,$ and changing the order of integration
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