Quadratic exponential vectors

DOI10.1063/1.3266166zbMath1241.81119arXiv0910.2453OpenAlexW3103426853MaRDI QIDQ3583723

Ameur Dhahri, Luigi Accardi

Publication date: 17 August 2010

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

Full work available at URL: https://arxiv.org/abs/0910.2453

zbMATH Keywords

integral equationsLie algebrasvectorsquantisation (quantum theory)

Mathematics Subject Classification ID

Processes with independent increments; Lévy processes (60G51) White noise theory (60H40) Noncommutative probability and statistics (46L53) Quantum stochastic calculus (81S25)

Related Items (7)

On the one-mode quadratic Weyl operators ⋮ ON THE QUADRATIC FOCK FUNCTOR ⋮ Quadratic open quantum harmonic oscillator ⋮ Identification of the one-mode quadratic Heisenberg group with the projective group PSU(1,1) and holomorphic representation ⋮ \(C^*\)-quadratic quantization ⋮ Self-adjointness and boundedness in quadratic quantization ⋮ The quadratic Fock functor

Cites Work

• Quantum probability, renormalization and infinite-dimensional *-Lie algebras
• Renormalized squares of white noise and other non-Gaussian noises as Lévy processes on real Lie algebras
• SECOND QUANTIZED AUTOMORPHISMS OF THE RENORMALIZED SQUARE OF WHITE NOISE (RSWN) ALGEBRA

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