Asymptotics of the discrete spectrum of the Dirac operator with decreasing potential (Q581759)

The Dirac operator with potential decaying at infinity (so that its essential spectrum equals \((-\infty,-m]\cup [m,\infty))\) is considered. Let \((\mu,\lambda)\subset (-m,m)\) and \(N((\mu,\lambda),h)\) be the number of eigenvalues in \((\mu,\lambda)\). If the potential is slowly decaying then \(N((\mu,\lambda),h)\to \infty\) as \(\lambda\to m\) or \(\mu\to -m\). Also \(N((-m,m),h)\to \infty\) as \(h\to 0\) (h is the Planck constant). Precise asymptotic estimations of \(N((\lambda,\mu),h)\) as \(\lambda\to m\) and or \(h\to 0\) are obtained.