Results 1 to 10 of about 971 (209)
Quantum Stochastic Integrals as Operators [PDF]
International Journal of Theoretical Physics, 2010 We construct quantum stochastic integrals for the integrator being a martingale in a von Neumann algebra, and the integrand -- a suitable process with values in the same algebra, as densely defined operators affiliated with the algebra. In the case of a finite algebra we allow the integrator to be an $L^2$--martingale in which case the integrals are $L^
Andrzej Łuczak, Łuczak Andrzej
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Series of iterated quantum stochastic integrals [PDF]
Lecture Notes in Mathematics, 2000 We consider series of iterated non-commutative stochastic integrals of scalar operators on the boson Fock space. We give a sufficient condition for these series to converge and to define a reasonable operator. An application of this criterion gives a condition for the convergence of some formal series of generalized integrator processes such as ...
Stéphane Attal
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Spectral families of quantum stochastic integrals [PDF]
Communications in Mathematical Physics, 1995 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
David Applebaum
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Quantum stochastic integrals under standing hypotheses
Journal of Mathematical Analysis and Applications, 1987 We study the meaning of stochastic integrals when the integrator is a quantum stochastic process which is not quite a martingale, in that it obeys estimates of the type advocated by \textit{E. J. McShane} [Stochastic calculus and stochastic models. (1974; Zbl 0292.60090)] in the classical case.
C Barnett
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Quasi-free quantum stochastic integrals for the CAR and CCR
Journal of Functional Analysis, 1983 AbstractA theory of quantum martingales and quantum stochastic integrals in quasi-free representations of the CAR and CCR is presented. For the CAR, the results generalize some of those developed in Barnett, Streater, and Wilde (J. Funct. Anal. 48 (1982), 172–212, J. London Math. Soc.
C Barnett
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Time-Slicing Path-integral in Curved Space [PDF]
Quantum, 2022 Path integrals constitute powerful representations for both quantum and stochastic dynamics. Yet despite many decades of intensive studies, there is no consensus on how to formulate them for dynamics in curved space, or how to make them covariant with ...
Mingnan Ding, Xiangjun Xing
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Journal of High Energy Physics, 2021 Stochastic Inflation is an important framework for understanding the physics of de Sitter space and the phenomenology of inflation. In the leading approximation, this approach results in a Fokker-Planck equation that calculates the probability ...
Timothy Cohen +3 more
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Quantum stochastic integrals as belated integrals [PDF]
Glasgow Mathematical Journal, 1992 Quantum stochastic integrals have been constructed in various contexts [2, 3, 4, 5, 9] by adapting the construction of the classical L2-Itô-integral with respect to Brownian motion. Thus, the integral is first defined for simple integrands as a finite sum, then one establishes certain isometry relations or suitable bounds to allow the extension, by ...
Barnett, Chris +2 more
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Holographic open quantum systems: toy models and analytic properties of thermal correlators
Journal of High Energy Physics, 2023 We present a unified picture of open quantum systems, the theory of a system probing a noisy thermal environment, distilling lessons learnt from previous holographic analyses.
R. Loganayagam +2 more
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Unraveling looping efficiency of stochastic Cosserat polymers
Physical Review Research, 2022 Understanding looping probabilities, including the particular case of ring closure or cyclization, of fluctuating polymers (e.g., DNA) is important in many applications in molecular biology and chemistry.
Giulio Corazza, Raushan Singh
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