Results 1 to 10 of about 159 (158)
A Stochastic Fractional Calculus with Applications to Variational Principles
Fractal and Fractional, 2020 We introduce a stochastic fractional calculus. As an application, we present a stochastic fractional calculus of variations, which generalizes the fractional calculus of variations to stochastic processes.
Houssine Zine, Delfim F. M. Torres
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Damped quantum interference using stochastic calculus [PDF]
Journal of Modern Optics, 2003 It is shown how the phase-damping master equation, either in Markovian and nonMarkovian regimes, can be obtained as an averaged random unitary evolution. This, apart from offering a common mathematical setup for both regimes, enables us to solve this equation in a straightforward manner just by solving the Schrodinger equation and taking the stochastic
Salgado, D., Sanchez-Gomez, J. L.
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PT Symmetry, Non-Gaussian Path Integrals, and the Quantum Black–Scholes Equation
Entropy, 2019 The Accardi–Boukas quantum Black–Scholes framework, provides a means by which one can apply the Hudson–Parthasarathy quantum stochastic calculus to problems in finance.
Will Hicks
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On Quantum Statistical Mechanics: A Study Guide
Advances in Mathematical Physics, 2017 We provide an introduction to a study of applications of noncommutative calculus to quantum statistical physics. Centered on noncommutative calculus, we describe the physical concepts and mathematical structures appearing in the analysis of large quantum
Wladyslaw Adam Majewski
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Quantum stochastic calculus and quantum Gaussian processes [PDF]
Indian Journal of Pure and Applied Mathematics, 2015 In this lecture we present a brief outline of boson Fock space stochastic calculus based on the creation, conservation and annihilation operators of free field theory, as given in the 1984 paper of Hudson and Parthasarathy. We show how a part of this architecture yields Gaussian fields stationary under a group action.
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Photoemissive sources and quantum stochastic calculus [PDF]
Banach Center Publications, 1998 9 pages; submitted to Proceedings of the Workshop on Quantum Probability (Gdansk, Poland, July 1-6, 1997)
BARCHIELLI, ALBERTO, LUPIERI G.
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The SLH framework for modeling quantum input-output networks
Advances in Physics: X, 2017 Many emerging quantum technologies demand precise engineering and control over networks consisting of quantum mechanical degrees of freedom connected by propagating electromagnetic fields, or quantum input-output networks.
Joshua Combes +2 more
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AIP Advances, 2018 Nonlinearities in finite dimensions can be linearized by projecting them into infinite dimensions. Unfortunately, the familiar linear operator techniques that one would then hope to use often fail since the operators cannot be diagonalized.
Paul M. Riechers, James P. Crutchfield
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A representation free quantum stochastic calculus
Journal of Functional Analysis, 1992 The purpose of quantum stochastic calculus is the behaviour of quantum systems driven by the usual interactions of quantum physics, and by a ``quantum noise''. In classical probability, one first studied the Wiener (Brownian) noise and the corresponding stochastic differential equations, then the Poisson noises, then martingale and semimartingale ...
ACCARDI, L. +3 more
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Quantum Langevin equations for optomechanical systems
New Journal of Physics, 2015 We provide a fully quantum description of a mechanical oscillator in the presence of thermal environmental noise by means of a quantum Langevin formulation based on quantum stochastic calculus.
Alberto Barchielli, Bassano Vacchini
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