Fermions from classical probability and statistics defined by stochastic independence

DOI10.4213/im9389eOpenAlexW4388657399MaRDI QIDQ6072012

Yun Gang Lu, Luigi Accardi

Publication date: 29 November 2023

Published in: Izvestiya: Mathematics (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/im9389

zbMATH Keywords

algebraic constraintsfermionsPauli exclusion principlestochastic independences

Mathematics Subject Classification ID

Quantization in field theory; cohomological methods (81T70) Quantum dynamics and nonequilibrium statistical mechanics (general) (82C10) Applications of functional analysis in quantum physics (46N50) Stochastic quantization (81S20)

Cites Work

• The non-linear and quadratic quantization programs
• The qq-bit (I): Central limits with left q-Jordan–Wigner embeddings, monotone interacting Fock space, Azema random variable, probabilistic meaning of q
• Unification of Independence in Quantum Probability
• ON A CENTRAL LIMIT THEOREM FOR MONOTONE NOISE

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