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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     author = {F. Fagnola and R. Monte},
     title = {Quantum extensions of semigroups generated by {Bessel} processes},
     journal = {Matemati\v{c}eskie zametki},
     pages = {519--537},
     publisher = {mathdoc},
     volume = {60},
     number = {4},
     year = {1996},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1996_60_4_a4/}
}
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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/