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On gap properties for the linearized 1D Dirac--Soler model
We study spectral properties of the Dirac operator $L_0$ obtained by linearizing the one-dimensional Soler model around standing waves with power nonlinearity $f(s)=s|s|^{p-1}, \, p>0$. We give a sharp characterization of the spectral gap. More precisely, we prove that if $p\ge1$, then the gap conta
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