6533b85afe1ef96bd12b9eff

RESEARCH PRODUCT

Quantum extensions of semigroups generated by Bessel processes

R. MonteFranco Fagnola

subject

Discrete mathematicsPure mathematicsBessel processMathematics::Operator AlgebrasSemigroupGeneral MathematicsNoncommutative geometryQuantum dynamical semigroupsymbols.namesakeQuantum probabilityVon Neumann algebraBounded functionsymbolsBessel functionMathematics

description

We construct a quantum extension of the Markov semigroup of the classical Bessel process of orderv≥1 to the noncommutative von Neumann algebra s(L2(0, +∞)) of bounded operators onL2(0, +∞).

https://doi.org/10.1007/bf02305422