Unitary evolutions and horizontal lifts in quantum stochastic calculus

DOI10.1007/BF02099290zbMath0734.60107MaRDI QIDQ811035

David Applebaum

Publication date: 1991

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

Poisson processquantum stochastic differential equationsdiffusions on the non- commutative two-torus

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Other physical applications of random processes (60K40) Quantum stochastic calculus (81S25)

Related Items (7)

Fermion flows and supersymmetry ⋮ Construction of some quantum stochastic operator cocycles by the semigroup method ⋮ On the Hamiltonian of a class of quantum stochastic processes ⋮ On a class of stochastic flows driven by quantum Brownian motion ⋮ On quantum stochastic differential equations with unbounded coefficients ⋮ Solving quantum stochastic differential equations with unbounded coefficients ⋮ Deformations of cocycles, quantum Lévy processes and quantum stochastic flows

Cites Work

• Stochastic dilations of uniformly continuous completely positive semigroups
• Quantum Ito's formula and stochastic evolutions
• Non-commutative differential geometry
• Derivations, dissipations and group actions on \(C^ *\)-algebras
• Quantum independent increment processes on superalgebras
• Quantum diffusions and the noncommutative torus
• Stochastic evolution of Yang-Mills connections on the noncommutative two- torus
• Existence of quantum diffusions
• On quantum stochastic differential equations with unbounded coefficients
• Topological algebras of operators
• Unitary Quantum Stochastic Evolutions
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