Nuclear Realization of Virasoro–Zamolodchikov-w∞⋆-Lie Algebras Through the Renormalized Higher Powers of Quantum Meixner White Noise

DOI10.1142/S1230161210000102zbMath1211.81069OpenAlexW2059101449MaRDI QIDQ3573100

Anis Riahi, Abdessatar Barhoumi

Publication date: 30 June 2010

Published in: Open Systems & Information Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1230161210000102

Mathematics Subject Classification ID

White noise theory (60H40) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Many-body theory; quantum Hall effect (81V70) Quantum information, communication, networks (quantum-theoretic aspects) (81P45) Open systems, reduced dynamics, master equations, decoherence (81S22)

Related Items (2)

The \((p, q)\)-deformed square white noise functionals ⋮ WHITE NOISE LÉVY–MEIXNER PROCESSES THROUGH A TRANSFER PRINCIPAL FROM ONE-MODE TO ONE-MODE TYPE INTERACTING FOCK SPACES

Cites Work

• Renormalized higher powers of white noise and the Virasoro-Zamolodchikov-\(w_\infty \) algebra
• The Segal-Bargmann transform for Lévy functionals
• White noise analysis for Lévy processes.
• Generalized Poisson functionals
• Analysis of generalized Lévy white noise functionals
• Some discrete multiple orthogonal polynomials
• Non-Gaussian infinite dimensional analysis
• The Wigner semi-circle law in quantum electro dynamics
• A duality theorem between spaces of holomorphic functions of exponential growth
• Lévy white noise calculus based on interaction exponents
• UNITARY REPRESENTATIONS OF THE WITT AND sl(2, ℝ)-ALGEBRAS THROUGH RENORMALIZED POWERS OF THE QUANTUM PASCAL WHITE NOISE
• Lévy Processes and Stochastic Calculus
• ENTANGLED MARKOV CHAINS ARE INDEED ENTANGLED

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