Results 11 to 20 of about 278,072 (286)
General Non-Markovian Quantum Dynamics
Entropy, 2021 A general approach to the construction of non-Markovian quantum theory is proposed. Non-Markovian equations for quantum observables and states are suggested by using general fractional calculus.
Vasily E. Tarasov
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Fractional monetary dynamics [PDF]
Applied Economics, 1999 We test for fractional dynamics in US monetary series, their various formulations and components, and velocity series. Using the spectral regression method, we find evidence of a fractional exponent in the differencing process of the monetary series (both simple-sum and Divisia indices), in their components (with the exception of demand deposits ...
John Barkoulas +2 more
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Dynamic fractional cascading [PDF]
Algorithmica, 1990 Let U be an ordered set and let \(G=(V,E)\) be an undirected graph. For each \(v\in V\) there is a set C(v)\(\subseteq U\), the catalogue of v, and for every edge \(e\in E\) there is a range \(R(e)=[7(e),r(e)]\), which is a closed interval in U. \(N=\sum_{v\in V}| C(v)|\) is the total size of the catalogues.
Mehlhorn, Kurt, Näher, Stefan
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A Generalized Diffusion Equation: Solutions and Anomalous Diffusion
Fluids, 2023 We investigate the solutions of a generalized diffusion-like equation by considering a spatial and time fractional derivative and the presence of non-local terms, which can be related to reaction or adsorption–desorption processes.
Ervin K. Lenzi +4 more
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Dynamical Fractional and Multifractal Fields [PDF]
Journal of Statistical Physics, 2021 Motivated by the modeling of three-dimensional fluid turbulence, we define and study a class of stochastic partial differential equations (SPDEs) that are randomly stirred by a spatially smooth and uncorrelated in time forcing term. To reproduce the fractional, and more specifically multifractal, regularity nature of fully developed turbulence, these ...
Apolinario, Gabriel Brito +2 more
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Anomalous Relaxation and Three-Level System: A Fractional Schrödinger Equation Approach
Quantum Reports, 2023 We investigate a three-level system in the context of the fractional Schrödinger equation by considering fractional differential operators in time and space, which promote anomalous relaxations and spreading of the wave packet.
Ervin K. Lenzi +5 more
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Rough Homogenisation with Fractional Dynamics [PDF]
, 2021 We review recent developments of slow/fast stochastic differential equations, and also present a new result on Diffusion Homogenisation Theory with fractional and non-strong-mixing noise and providing new examples. The emphasise of the review will be on the recently developed effective dynamic theory for two scale random systems with fractional noise ...
Gehringer, J, Li, X-M
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Quantum Reports, 2022 We investigate the solutions of a two-dimensional Schrödinger equation in the presence of geometric constraints, represented by a backbone structure with branches, by taking a position-dependent effective mass for each direction into account.
Ervin K. Lenzi +3 more
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Fractional Dynamics at Multiple Times [PDF]
Journal of Statistical Physics, 2012 A continuous time random walk (CTRW) imposes a random waiting time between random particle jumps. CTRW limit densities solve a fractional Fokker-Planck equation, but since the CTRW limit is not Markovian, this is not sufficient to characterize the process.
Meerschaert, Mark M., Straka, Peter
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Quantum Maps with Memory from Generalized Lindblad Equation
Entropy, 2021 In this paper, we proposed the exactly solvable model of non-Markovian dynamics of open quantum systems. This model describes open quantum systems with memory and periodic sequence of kicks by environment. To describe these systems, the Lindblad equation
Vasily E. Tarasov
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