Results 1 to 10 of about 34,394 (238)
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.
Andrzej Łuczak +10 more
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Malliavin Calculus and Skorohod Integration for Quantum Stochastic Processes [PDF]
Infinite Dimensional Analysis, Quantum Probability and Related Topics, 2000 A derivation operator and a divergence operator are defined on the algebra of bounded operators on the symmetric Fock space over the complexification of a real Hilbert space $\eufrak{h}$ and it is shown that they satisfy similar properties as the ...
Belavkin V. P. +3 more
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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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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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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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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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Stochastic Electrodynamics: Lessons from Regularizing the Harmonic Oscillator
Atoms, 2019 In this paper, the harmonic oscillator problem in Stochastic Electrodynamics is revisited. Using the exact shape of the Lorentz damping term prevents run-away effects.
Theodorus Maria Nieuwenhuizen
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The non-Markovian stochastic Schrodinger equation for open systems [PDF]
, 1997 We present the non-Markovian generalization of the widely used stochastic Schrodinger equation. Our result allows to describe open quantum systems in terms of stochastic state vectors rather than density operators, without approximation.
Caldeira +21 more
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Mathematical and Computational Applications, 2017 This computational research study will analyze the multi-physics of lithium ion insertion into a silicon nanowire in an attempt to explain the electrochemical kinetics at the nanoscale and quantum level.
Donald C. Boone
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