RENORMALIZED POWERS OF QUANTUM WHITE NOISE

DOI10.1142/S0219025706002263zbMath1136.60051OpenAlexW2168072079MaRDI QIDQ5468908

Uwe Franzshort Notes, Luigi Accardi, Andreas Boukas

Publication date: 3 May 2006

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

Full work available at URL: https://doi.org/10.1142/s0219025706002263

zbMATH Keywords

Fock representationquantum white noise

Mathematics Subject Classification ID

White noise theory (60H40) Infinite-dimensional Lie (super)algebras (17B65) Quantum stochastic calculus (81S25) Distributions on infinite-dimensional spaces (46F25)

Related Items (15)

Fermionic Meixner classes, Lie algebras and quadratic Hamiltonians ⋮ Higher powers of analytical operators and associated ∗-Lie algebras ⋮ Powers of quantum white noise derivatives ⋮ COHOMOLOGY OF THE VIRASORO–ZAMOLODCHIKOV AND RENORMALIZED HIGHER POWERS OF WHITE NOISE *-LIE ALGEBRAS ⋮ Bogolyubov endomorphisms and non-commutative hyperbolic functions ⋮ UNITARY REPRESENTATIONS OF THE WITT AND sl(2, ℝ)-ALGEBRAS THROUGH RENORMALIZED POWERS OF THE QUANTUM PASCAL WHITE NOISE ⋮ REPRESENTATIONS OF sl(2) IN THE BOOLEAN LATTICE, AND THE HAMMING AND JOHNSON SCHEMES ⋮ Multiplication of distributions in any dimension: Applications to \(\delta \)-function and its derivatives ⋮ The Schrödinger Fock kernel and the no-go theorem for the first order and Renormalized Square of White Noise Lie algebras ⋮ Renormalization and central extensions ⋮ Quantum white noise stochastic analysis based on nuclear algebras of entire functions ⋮ ON THE QUADRATIC HEISENBERG GROUP ⋮ Pascal white noise calculus ⋮ An information complexity index for probability measures on ℝ with all moments ⋮ WHITE NOISE HEISENBERG EVOLUTION AND EVANS–HUDSON FLOWS

Cites Work

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• Quadratic bosonic and free white noises.
• Renormalized squares of white noise and other non-Gaussian noises as Lévy processes on real Lie algebras
• The general boson normal ordering problem
• SECOND QUANTIZED AUTOMORPHISMS OF THE RENORMALIZED SQUARE OF WHITE NOISE (RSWN) ALGEBRA
• RENORMALIZED SQUARES OF BOSON FIELDS

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