The quadratic Fock functor

DOI10.1063/1.3294771zbMath1309.81251arXiv0910.2454OpenAlexW1977379707MaRDI QIDQ5246526

Luigi Accardi, Ameur Dhahri

Publication date: 21 April 2015

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0910.2454

Mathematics Subject Classification ID

Quantization in field theory; cohomological methods (81T70) Many-body theory; quantum Hall effect (81V70) Commutation relations and statistics as related to quantum mechanics (general) (81S05) Bergman spaces and Fock spaces (30H20)

Related Items (7)

\(C^{\ast}\)-non-linear second quantization ⋮ Polynomial Extensions of the Weyl C*-Algebra ⋮ Quadratic open quantum harmonic oscillator ⋮ \(C^*\)-quadratic quantization ⋮ Renormalization and central extensions ⋮ Self-adjointness and boundedness in quadratic quantization ⋮ Non-commutative probability and non-commutative processes: Beyond the Heisenberg algebra

Cites Work

• Unnamed Item
• An introduction to quantum stochastic calculus.
• Renormalized squares of white noise and other non-Gaussian noises as Lévy processes on real Lie algebras
• UNITARY REPRESENTATIONS OF THE WITT AND sl(2, ℝ)-ALGEBRAS THROUGH RENORMALIZED POWERS OF THE QUANTUM PASCAL WHITE NOISE
• Quadratic exponential vectors
• ON THE RELATION OF THE SQUARE OF WHITE NOISE AND THE FINITE DIFFERENCE ALGEBRA
• SECOND QUANTIZED AUTOMORPHISMS OF THE RENORMALIZED SQUARE OF WHITE NOISE (RSWN) ALGEBRA

This page was built for publication: The quadratic Fock functor