Geodesic
Solution of Bloch equation in the Weyl representation
Teoretičeskaâ i matematičeskaâ fizika, Tome 88 (1991) no. 2, pp. 314-319 Cet article a éte moissonné depuis la source Math-Net.Ru

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The Weyl symbol of the operator exponential $\exp\{-\beta[(2\mu)^{-1}\hat{p^2}+V\hat{(q)}]\}$ is regarded as a solution of the Bloch equation in the phase space. The unperturbed equation is separated in accordance with the $\hbar$ expansion of the product of Weyl symbols. The exact solution and Green's function of the unperturbed Bloch equation are found in analytic form. An iterative procedure for constructing the perturbation-theory series is proposed. 
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     title = {Solution of {Bloch} equation in the {Weyl} representation},
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}
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V. V. Kudryashov. Solution of Bloch equation in the Weyl representation. Teoretičeskaâ i matematičeskaâ fizika, Tome 88 (1991) no. 2, pp. 314-319. http://geodesic.mathdoc.fr/item/TMF_1991_88_2_a9/

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