L2-Normalized Solitary Wave Solutions of a Nonlinear Dirac Equation

In this paper, we study the following nonlinear Dirac equation - i ħ ∂ t ψ = i c ħ ∑ k = 1 3 α k ∂ k ψ - m c 2 β ψ + K ( x ) | ψ | p - 2 ψ , ( N D E ) where ψ : R × R 3 → C 4 , K ∈ L ∞ ( R 3 ) , c denotes the speed of light, m > 0 , the mass of the electron, ħ is Planck’s constant, ∂ k = ∂ ∂ x k...

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Veröffentlicht in:	The Journal of geometric analysis 2023, Vol.33 (2)
Hauptverfasser:	Ding, Yanheng, Yu, Yuanyang, Zhao, Fukun
Format:	Artikel
Sprache:	eng
Schlagworte:	Abstract Harmonic Analysis Convex and Discrete Geometry Differential Geometry Dirac equation Dynamical Systems and Ergodic Theory Fourier Analysis Geometry Global Analysis and Analysis on Manifolds Mathematics Mathematics and Statistics Nondestructive testing Perturbation Solitary waves Variational methods
Online-Zugang:	Volltext
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