A Fermion Lévy theorem

DOI10.1016/0022-1236(92)90045-KzbMath0770.60050MaRDI QIDQ1803333

Luigi Accardi, Johan Quaegebeur

Publication date: 29 June 1993

Published in: Journal of Functional Analysis (Search for Journal in Brave)

zbMATH Keywords

martingalenon-commutative probabilityquantum martingaleanticommutation relationLévy theorem characterizing Fermion Brownian motion

Mathematics Subject Classification ID

Generalizations of martingales (60G48) Quantum stochastic calculus (81S25)

Related Items

A representation free quantum stochastic calculus, A Lévy theorem for free noises

Cites Work

• On the formula of Mathews and Salam
• The weak coupling limit as a quantum functional central limit
• Quantum independent increment processes on superalgebras
• A martingale characterization of canonical commutation and anticommutation relations
• The Ito algebra of quantum Gaussian fields
• A representation free quantum stochastic calculus
• States of the Clifford algebra
• Existence and uniqueness of physical ground states
• An algebraic version of the central limit theorem
• An algebraic central limit theorem in the anti-commuting case
• Quantum stochastic processes
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