Towards characterizing quantum stochastic fermionic evolutions

DOI10.1016/0034-4877(96)82484-0zbMath0885.60059OpenAlexW2048006947MaRDI QIDQ1372462

V. R. Struleckaja

Publication date: 20 April 1998

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0034-4877(96)82484-0

zbMATH Keywords

von Neumann algebrasboson Fock spacequantum stochastic differential equationstochastic cocycles

Mathematics Subject Classification ID

Free probability and free operator algebras (46L54) Noncommutative probability and statistics (46L53) Noncommutative measure and integration (46L51) Quantum stochastic calculus (81S25) Stochastic analysis (60H99)

Related Items (1)

Markovian cocycles on operator algebras adapted to a Fock filtration

Cites Work

• Stochastic dilations of uniformly continuous completely positive semigroups
• Quantum Ito's formula and stochastic evolutions
• Fermion Ito's formula and stochastic evolutions
• A non-commutative martingale representation theorem for non-Fock quantum Brownian motion
• Stochastic integral representation of bounded quantum martingales in Fock space
• Unification of Fermion and Boson stochastic calculus
• Fermion Ito's formula. II: The gauge process in fermion Fock space
• Fermion flows and supersymmetry
• Fermionic quantum stochastic flows
• Non-Abelian cohomology and fermion flows over \(\mathbb{Z}_ 2\)-graded \(*\)-algebras
• On characterizing quantum stochastic evolutions
• Involutory Automorphisms of Operator Algebras
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Towards characterizing quantum stochastic fermionic evolutions