A new form and a ⋆-algebraic structure of quantum stochastic integrals in Fock space
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Publication:3490705
DOI10.1007/BF02925240zbMath0708.60048MaRDI QIDQ3490705
Publication date: 1988
Published in: Rendiconti del Seminario Matematico e Fisico di Milano (Search for Journal in Brave)
noncommutative stochastic calculusquantum Itô's formulaquantum stochastic equationsalgebraic definition of the basic quantum process
Free probability and free operator algebras (46L54) Noncommutative probability and statistics (46L53) Noncommutative measure and integration (46L51) Stochastic integrals (60H05)
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METHOD OF FORMAL POWER SERIES IN QUANTUM STOCHASTIC CALCULUS ⋮ Strong convergence of quantum random walks via semigroup decomposition ⋮ Quantum quasi-Markov processes in eventum mechanics dynamics, observation, filtering and control ⋮ Noncommutative dynamics and generalized master equations ⋮ Belavkin-Kolokoltsov watchdog effects in interactively controlled stochastic computer-graphic dynamic systems ⋮ The Stratonovich formulation of quantum feedback network rules ⋮ Symmetrized double quantum stochastic product integrals ⋮ A quantum nonadapted Ito formula and stochastic analysis in Fock scale ⋮ Algebraic theory of product integrals in quantum stochastic calculus ⋮ A quantum nonadapted Ito formula and stochastic analysis in Fock scale ⋮ Quantum stochastic calculus and quantum nonlinear filtering ⋮ Non-Markovian Continuous Quantum Measurement of Retarded Observables ⋮ A canonical dilation of the Schrödinger equation
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