White noise quantum time shifts

DOI10.1515/ROSE.2010.11zbMath1224.60209MaRDI QIDQ3077710

Luigi Accardi, Habib Rebei, Abdessatar Barhoumi, Habib Ouerdiane

Publication date: 22 February 2011

Published in: Random Operators and Stochastic Equations (Search for Journal in Brave)

zbMATH Keywords

Wiener processWeyl algebrawhite noiseLévy processMarkovian semigrouposcillator algebraquantum shift

Mathematics Subject Classification ID

Brownian motion (60J65) Probabilistic potential theory (60J45) White noise theory (60H40)

Cites Work

• Quadratic bosonic and free white noises.
• Renormalized squares of white noise and other non-Gaussian noises as Lévy processes on real Lie algebras
• On the structure of classical and quantum flows
• White Noise Approach to stochastic integration
• An Application of Flows to Time Shift and Time Reversal in Stochastic Processes
• SECOND QUANTIZED AUTOMORPHISMS OF THE RENORMALIZED SQUARE OF WHITE NOISE (RSWN) ALGEBRA
• A QUANTUM APPROACH TO LAPLACE OPERATORS

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