Stochastic cocyles over \(\mathbb{Z}_ 2\)-graded \(^*\)-algebras

DOI10.1007/BF00676286zbMath0842.46055OpenAlexW2062777571MaRDI QIDQ1907592

V. R. Struleckaja

Publication date: 13 February 1996

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00676286

zbMATH Keywords

boson casefermionic evolutionstochastic cocycles over \(\mathbb{Z}_ 2\)-graded von Neumann *-algebrasunification of bosonic and fermionic quantum stochastic calculus

Mathematics Subject Classification ID

Applications of stochastic analysis (to PDEs, etc.) (60H30) Applications of selfadjoint operator algebras to physics (46L60) Applications of functional analysis in quantum physics (46N50) Stochastic mechanics (including stochastic electrodynamics) (81P20)

Cites Work

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• Stochastic dilations of uniformly continuous completely positive semigroups
• Stochastic integral representation of bounded quantum martingales in Fock space
• Structure of Markov cocycles on Fock space
• Unification of Fermion and Boson stochastic calculus
• Fermion Ito's formula. II: The gauge process in fermion Fock space
• Quantum mechanical Wiener processes
• Fermion flows and supersymmetry
• A geometrical theory of multiple integral problems in the calculus of variations
• On characterizing quantum stochastic evolutions