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. 
@article{IM2_1995_59_2_a9,
     author = {A. S. Holevo},
     title = {On translation-covariant quantum {Markov} equations},
     journal = {Izvestiya. Mathematics },
     pages = {427--443},
     publisher = {mathdoc},
     volume = {59},
     number = {2},
     year = {1995},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1995_59_2_a9/}
}
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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/