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MultiscaleComputations fortheMaxwell–Schrödinger System in Heterogeneous Nanostructures

Communications in Computational Physics, 2020
In this paper, we study the multiscale computations for the Maxwell– Schrödinger system with rapidly oscillating coefficients under the dipole approximation that describes light-matter interaction in heterogeneous nanostructures.
Chupeng Ma
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A Mortar Spectral Element Method for Full-Potential Electronic Structure Calculations

Communications in Computational Physics, 2021
In this paper, we propose an efficient mortar spectral element approximation scheme for full-potential electronic structure calculations. As a subsequent work of [24], the paper adopts a similar domain decomposition that the computational domain is first
Yichen Guo
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General Energy Decay of Solutions for a Wave Equation with Nonlocal Damping and Nonlinear Boundary Damping

Journal of Partial Differential Equations, 2019
In this paper, we consider a nonlinear wave equation with nonlocal damping and nonlinear boundary damping. We prove a general energy decay property for solutions in terms of coefficient of the frictional boundary damping by using of the multiplier ...
Donghao Li sci
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On semi-classical limits of ground states of a nonlinear Maxwell-Dirac system

, 2014
We study the semi-classical ground states of the nonlinear MaxwellDirac system:    α · ( i~∇+ q(x)A(x) ) w − aβw − ωw − q(x)φ(x)w = P (x)g(|w|)w −∆φ = q(x) |w| −∆Ak = q(x)(αkw) · w̄ k = 1, 2, 3 for x ∈ R, where A is the magnetic field, φ is the ...
Yanheng Ding, Xueting Tian
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Pauli Exclusion Principle and Nonlinear Dirac Equation

Journal of Geometry and Symmetry in Physics
The nonlinear Dirac equation is a magical equation that hides many mysteries of nature, so it is worth systematic study. In this paper, we give a detailed analysis for the effects of various covariant potential terms on the energy eigenstates and the ...
Ying-Qiu Gu
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