ON THE QUADRATIC HEISENBERG GROUP
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Publication:3070062
DOI10.1142/S0219025710004231zbMath1213.60123MaRDI QIDQ3070062
Habib Rebei, Luigi Accardi, Habib Ouerdiane
Publication date: 2 February 2011
Published in: Infinite Dimensional Analysis, Quantum Probability and Related Topics (Search for Journal in Brave)
quadratic Weyl operatorsrenormalized square of white noiseone mode interacting Fock spacequadratic Heisenberg groupsl\((2, \mathbb R)\) algebra
Continuous-time Markov processes on general state spaces (60J25) Probabilistic potential theory (60J45) White noise theory (60H40)
Related Items (6)
On the one-mode quadratic Weyl operators ⋮ On the Bogolyubov endomorphisms of the renormalized square of white noise algebra ⋮ The generalized Heisenberg group arising from Weyl relations ⋮ Identification of the one-mode quadratic Heisenberg group with the projective group PSU(1,1) and holomorphic representation ⋮ \(C^*\)-quadratic quantization ⋮ The non-linear and quadratic quantization programs
Cites Work
- Renormalized higher powers of white noise and the Virasoro-Zamolodchikov-\(w_\infty \) algebra
- Renormalized squares of white noise and other non-Gaussian noises as Lévy processes on real Lie algebras
- Lévy white noise calculus based on interaction exponents
- Fock representation of the renormalized higher powers of White noise and the centreless Virasoro (or Witt)–Zamolodchikov–w∞*-Lie algebra
- SECOND QUANTIZED AUTOMORPHISMS OF THE RENORMALIZED SQUARE OF WHITE NOISE (RSWN) ALGEBRA
- RENORMALIZED POWERS OF QUANTUM WHITE NOISE
- RENORMALIZED HIGHER POWERS OF WHITE NOISE (RHPWN) AND CONFORMAL FIELD THEORY
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