Geodesic
On translation-covariant quantum Markov equations
Izvestiya. Mathematics , Tome 59 (1995) no. 2, pp. 427-443.

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The structure of quantum Markov control equations with unbounded generators and covariant with respect to 1) irreducible representation of the Weyl CCR on $R^d$ and 2) representation of the group of $R^d$, is completely described via non-commutative Levy–Khinchin-type formulae. The existence and uniqueness of solutions for such equations is briefly discussed. 
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A. S. Holevo. On translation-covariant quantum Markov equations. Izvestiya. Mathematics , Tome 59 (1995) no. 2, pp. 427-443. http://geodesic.mathdoc.fr/item/IM2_1995_59_2_a9/

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