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   Articles with "linear schr" as a keyword



Superconvergence of Local Discontinuous Galerkin Method for One-Dimensional Linear Schrödinger Equations

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recommendations! Published in 2017 at "Journal of Scientific Computing"

DOI: 10.1007/s10915-017-0362-6

Abstract: In this paper, we study the superconvergence properties of the LDG method for the one-dimensional linear Schrödinger equation. We build a special interpolation function by constructing a correction function, and prove the numerical solution is… read more here.

Keywords: method one; schr dinger; one dimensional; linear schr ... See more keywords

Decay of the stochastic linear Schrödinger equation in $$d \ge 3$$ d ≥ 3 with small multiplicative noise

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recommendations! Published in 2018 at "Stochastics and Partial Differential Equations: Analysis and Computations"

DOI: 10.1007/s40072-020-00172-9

Abstract: We give decay estimates of the solution to the linear Schrödinger equation in dimension $$d \ge 3$$ d ≥ 3 with a small noise which is white in time and colored in space. As a… read more here.

Keywords: dinger equation; decay; schr; linear schr ... See more keywords

Localization and ‘classical entanglement’ in the discrete non-linear Schrödinger equation

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recommendations! Published in 2025 at "Journal of Statistical Mechanics: Theory and Experiment"

DOI: 10.1088/1742-5468/ae17ab

Abstract: We perform a detailed numerical study of the very peculiar thermodynamic properties of the localized high-energy phase of the discrete non-linear Schrödinger equation (DNLSE). A numerical sampling of the microcanonical ensemble done by means of… read more here.

Keywords: non linear; system; entanglement; classical entanglement ... See more keywords

Perturbative Treatment of the Non-Linear q-Schrödinger and q-Klein-Gordon Equations

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recommendations! Published in 2017 at "Entropy"

DOI: 10.3390/e19010021

Abstract: Interesting non-linear generalization of both Schrodinger’s and Klein–Gordon’s equations have been recently advanced by Tsallis, Rego-Monteiro and Tsallis (NRT) in Nobre et al. (Phys. Rev. Lett. 2011, 106, 140601). There is much current activity going… read more here.

Keywords: treatment non; non linear; klein gordon; perturbative treatment ... See more keywords