SQUARES OF WHITE NOISE, SL(2, ℂ) AND KUBO–MARTIN–SCHWINGER STATES

DOI10.1142/S0219025706002597zbMath1115.46053arXiv0705.3907OpenAlexW2963525078MaRDI QIDQ3421831

D. V. Prokhorenko

Publication date: 8 February 2007

Published in: Infinite Dimensional Analysis, Quantum Probability and Related Topics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0705.3907

zbMATH Keywords

stochastic limitKubo-Martin-Schwinger statessquares of quantum white noise

Mathematics Subject Classification ID

White noise theory (60H40) States of selfadjoint operator algebras (46L30)

Related Items

\(C^{\ast}\)-non-linear second quantization

Cites Work

• Renormalized squares of white noise and other non-Gaussian noises as Lévy processes on real Lie algebras
• On the equilibrium states in quantum statistical mechanics
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