Quantum stochastic evolutions

DOI10.1007/BF02302422zbMath0924.60091MaRDI QIDQ674893

G. O. S. Ekhaguere

Publication date: 8 November 1999

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

zbMATH Keywords

evolution operatorquantum stochastic differential equation

Mathematics Subject Classification ID

Other physical applications of random processes (60K40) Quantum stochastic calculus (81S25)

Related Items (15)

On continuous selection sets of non-Lipschitzian quantum stochastic evolution inclusions ⋮ Existence and stability results for strong solutions of lipschitzian quantum stochastic differential equations ⋮ On computational procedures for weak solutions of quantum stochastic differential equations ⋮ Exponential Formula for the Reachable Sets of Quantum Stochastic Differential Inclusions ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Viable solutions of lower semicontinuous quantum stochastic differential inclusions ⋮ Further results on the arcwise connectedness of solution sets of discontinuous quantum stochastic differential inclusions ⋮ Topological properties of solution sets of Lipschitzian quantum stochastic differential inclusions ⋮ CONSTRUCTION OF APPROXIMATE ATTAINABILITY SETS FOR LIPSCHITZIAN QUANTUM STOCHASTIC DIFFERENTIAL INCLUSIONS ⋮ LIPSCHITZIAN QUANTUM STOCHASTIC DIFFERENTIAL EQUATIONS AND THE ASSOCIATED KURZWEIL EQUATIONS ⋮ Continuous interpolation of solution sets of Lipschitzian quantum stochastic differential inclusions ⋮ Extension of Continuous Selection Sets to Non-Lipschitzian Quantum Stochastic Differential Inclusion ⋮ Error Estimates for Discretized Quantum Stochastic Differential Inclusions ⋮ Converging multistep schemes for weak solutions of quantum stochastic differential equations

Cites Work

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• Quantum Ito's formula and stochastic evolutions
• Nonlinear evolution operators in Banach spaces
• Lipschitzian quantum stochastic differential inclusions
• Nonlinear evolution equations in an arbitrary Banach space
• On the relation of the operator \(\partial/\partial s+partial/\tau\) to evolution governed by accretive operators
• Quantum stochastic differential inclusions of hypermaximal monotone type
• Symmetric Hilbert spaces and related topics. Infinitely divisible positive definite functions, continuous products and tensor products, Gaussian and Poissonian stochastic processes
• On the class of nonlinear evolution operators in Banach space
• Difference approximation of evolution equations and generation of nonlinear semigroups
• A Generalized Domain for Semigroup Generators
• Nonlinear evolution equations in Banach spaces

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