Solving quantum stochastic differential equations with unbounded coefficients
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Publication:1868682
DOI10.1016/S0022-1236(02)00089-7zbMath1019.81028MaRDI QIDQ1868682
Franco Fagnola, Stephen J. Wills
Publication date: 28 April 2003
Published in: Journal of Functional Analysis (Search for Journal in Brave)
stochastic differential equationdiffusion processstochastic cocyclebirth and death processquantum stochasticinverse oscillator
One-parameter semigroups and linear evolution equations (47D06) Quantum stochastic calculus (81S25) Stochastic integral equations (60H20)
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Cites Work
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- Quantum Ito's formula and stochastic evolutions
- Unitary evolutions and horizontal lifts in quantum stochastic calculus
- Quantum probability for probabilists
- Stochastic dilation of minimal quantum dynamical semigroup
- On the generators of quantum stochastic flows
- Sufficient conditions for conservativity of minimal quantum dynamical semigroups
- On the Lindblad equation with unbounded time-dependent coefficients
- Quantum stochastic positive evolutions: Characterization, construction, dilation
- Existence, positivity and contractivity for quantum stochastic flows with infinite dimensional noise
- Mild solutions of quantum stochastic differential equations
- On quantum stochastic differential equations with unbounded coefficients
- Markovian cocycles on operator algebras adapted to a Fock filtration
- On the structure of classical and quantum flows
- Algebraic probability spaces
- Unitary Quantum Stochastic Evolutions
- Quantum Flows with Unbounded Structure Maps and Finite Degrees of Freedom
- Quantum stochastic processes
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