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- Title
HIERARCHY OF LÉVY-LAPLACIANS AND QUANTUM STOCHASTIC PROCESSES.
- Authors
VOLKOV, BORIS O.
- Abstract
We consider a family of infinite dimensional Laplace operators which contains the classical Lévy-Laplacian. We prove a representation of these operators as a quadratic functions of quantum stochastic processes. Particularly, for the classical Lévy-Laplacian, the following formula is proved: ΔL = limε→0 fǁs-tǁ<ε bsbtdsdt, where bt is the annihilation process.
- Subjects
QUANTUM mechanics; STOCHASTIC analysis; LAPLACIAN operator; QUANTUM stochastic differential equations; ANNIHILATION reactions; WHITE noise; PROBABILITY theory
- Publication
Infinite Dimensional Analysis, Quantum Probability & Related Topics, 2013, Vol 16, Issue 4, p1
- ISSN
0219-0257
- Publication type
Article
- DOI
10.1142/S0219025713500276