23-53 Jason Holt, and Oleg Safronov

On the number of eigenvalues of the Dirac operator in a bounded interval (420K, pdf) Sep 5, 23

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Abstract. Let $H_0$ be the free Dirac operator and $V\geq 0$ be a positive potential. We study the discrete spectrum of $H()=H_0- V$ in the interval $(-1,1)$ for large values of the coupling constant $>0$. In particular, we obtain an asymptotic formula for the number of eigenvalues of $H()$ situated in a bounded interval $[\l,\mu)$ as $ o\infty$.

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