The notion of fractional quantum Brownian motion is introduced and the conditions of its existence (for a given pair of parameters $\alpha \in [0, 2]$, $a \in\Bbb R$ and a given symplectic form $\sigma$) is derived. Some examples, involving representations of the $CCR$ with ``random Planck's constant'' are produced.
Accardi, L. (1993). Fractal quantum Brownian motions. In L. Accardi, E. Reviglio (a cura di), Fractals in nature and in mathematics (pp. 61-65). Istituto dell'Enciclopedia Italiana.
Fractal quantum Brownian motions
ACCARDI, LUIGI
1993-01-01
Abstract
The notion of fractional quantum Brownian motion is introduced and the conditions of its existence (for a given pair of parameters $\alpha \in [0, 2]$, $a \in\Bbb R$ and a given symplectic form $\sigma$) is derived. Some examples, involving representations of the $CCR$ with ``random Planck's constant'' are produced.File in questo prodotto:
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