The Unitarity Conditions for the Square of White Noise

DOI10.1142/S0219025703001183zbMath1053.81052MaRDI QIDQ3043500

Luigi Accardi, Andreas Boukas

Publication date: 6 August 2004

Published in: Infinite Dimensional Analysis, Quantum Probability and Related Topics (Search for Journal in Brave)

zbMATH Keywords

quantum stochastic calculusHilbert modulequantum white noise

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) White noise theory (60H40) Applications of selfadjoint operator algebras to physics (46L60) Quantum stochastic calculus (81S25) Applications of functional analysis in quantum physics (46N50) Commutation relations and statistics as related to quantum mechanics (general) (81S05)

Related Items (3)

Module white noise calculus ⋮ THE SQUARE OF WHITE NOISE AS A JACOBI FIELD ⋮ WHITE NOISE HEISENBERG EVOLUTION AND EVANS–HUDSON FLOWS

Uses Software

• Mathematica

Cites Work

• Unnamed Item
• Quantum Ito's formula and stochastic evolutions
• Discrete analogues of the Heisenberg-Weyl algebra
• The Ito algebra of quantum Gaussian fields
• An example of a quantum exponential process
• A representation free quantum stochastic calculus
• On quantum Itô algebras and their decompositions
• Hilbert modules in quantum electro dynamics and quantum probability
• Quadratic bosonic and free white noises.
• Hilbert modules and stochastic dilation of a quantum dynamical semigroup on a von Neumann algebra
• Renormalized squares of white noise and other non-Gaussian noises as Lévy processes on real Lie algebras
• ON THE RELATION OF THE SQUARE OF WHITE NOISE AND THE FINITE DIFFERENCE ALGEBRA
• THE ITÔ TABLE OF THE SQUARE OF WHITE NOISE
• Unitarity conditions for stochastic differential equations driven by nonlinear quantum noise

This page was built for publication: The Unitarity Conditions for the Square of White Noise