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Nonlinear optical signatures of topological Dirac fermion. [PDF]

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Xia H   +10 more
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Structure of Dirac matrices and invariants for nonlinear Dirac equations

open access: yesStructure of Dirac matrices and invariants for nonlinear Dirac equations
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On nonlinear Dirac equations

Journal of Mathematical Physics, 2019
This paper is concerned with the multiplicity of solutions for the nonlinear Dirac equation −i∑k=13αk∂ku+(V(x)+a)βu+ωu=Fu(x,u), where V (x) is a potential function and F(x, u) is a nonlinear function modeling various types of interactions. Under suitable
A. Benhassine
semanticscholar   +3 more sources

Nonrelativistic limit of normalized solutions to a class of nonlinear Dirac equations

Calculus of Variations and Partial Differential Equations, 2023
In this paper, we investigate the nonrelativistic limit of normalized solutions to a nonlinear Dirac equation as given below: -ic∑k=13αk∂ku+mc2βu-Γ∗(K|u|κ)K|u|κ-2u-P|u|s-2u=ωu,∫R3|u|2dx=1.\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage ...
Pan Chen   +3 more
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