SECOND QUANTIZED AUTOMORPHISMS OF THE RENORMALIZED SQUARE OF WHITE NOISE (RSWN) ALGEBRA

DOI10.1142/S0219025704001542zbMath1077.81060OpenAlexW2105130696MaRDI QIDQ5315820

Luigi Accardi, Grigori G. Amosov, Uwe Franz

Publication date: 9 September 2005

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/s0219025704001542

Mathematics Subject Classification ID

White noise theory (60H40) Quantum equilibrium statistical mechanics (general) (82B10) Quantum stochastic calculus (81S25) Applications of functional analysis in quantum physics (46N50)

Related Items (14)

On the Bogolyubov endomorphisms of the renormalized square of white noise algebra ⋮ \(C^{\ast}\)-non-linear second quantization ⋮ ON THE QUADRATIC FOCK FUNCTOR ⋮ \(C^*\)-quadratic quantization ⋮ Dilations of contraction cocycles and cocycle perturbations of the translation group of the line ⋮ Renormalization and central extensions ⋮ Self-adjointness and boundedness in quadratic quantization ⋮ Quadratic exponential vectors ⋮ ON THE QUADRATIC HEISENBERG GROUP ⋮ Tensor Bogolyubov representations of the renormalized square of white noise (RSWN) algebra ⋮ RENORMALIZED SQUARES OF BOSON FIELDS ⋮ White noise quantum time shifts ⋮ RENORMALIZED POWERS OF QUANTUM WHITE NOISE ⋮ The quadratic Fock functor

Cites Work

• Renormalized squares of white noise and other non-Gaussian noises as Lévy processes on real Lie algebras
• Une classification des facteurs de type ${\rm III}$

This page was built for publication: SECOND QUANTIZED AUTOMORPHISMS OF THE RENORMALIZED SQUARE OF WHITE NOISE (RSWN) ALGEBRA