Geodesic
Quantum extensions of semigroups generated by Bessel processes
Matematičeskie zametki, Tome 60 (1996) no. 4, pp. 519-537.

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We construct a quantum extension of the Markov semigroup of the classical Bessel process of order $\nu\ge1$ to the noncommutative von Neumann algebra $\beta(L^2(0,+\infty))$ of bounded operators on $L^2(0,+\infty)$. 
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F. Fagnola; R. Monte. Quantum extensions of semigroups generated by Bessel processes. Matematičeskie zametki, Tome 60 (1996) no. 4, pp. 519-537. http://geodesic.mathdoc.fr/item/MZM_1996_60_4_a4/

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