Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1993-03-25
Physics
High Energy Physics
High Energy Physics - Theory
6 pages
Scientific paper
10.1016/0375-9601(93)90491-H
Brownian motion may be embedded in the Fock space of bosonic free field in one dimension.Extending this correspondence to a family of creation and annihilation operators satisfying a q-deformed algebra, the notion of q-deformation is carried from the algebra to the domain of stochastic processes.The properties of q-deformed Brownian motion, in particular its non-Gaussian nature and cumulant structure,are established.
Man'ko Vladimir I.
Mendes Rui Vilela
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