Abstract
We consider Dirac operators H in R-3 with spherically symmetric potentials. The main result is a criterion for eigenvalue accumulation and non-accumulation at the endpoints -1 and 1 of the essential spectrum under rather weak assumptions on the potential. This result is proved by showing an analogous criterion for the associated radial Dirac operators H-kappa and by proving that for \kappa\ ...
Abstract
We consider Dirac operators H in R-3 with spherically symmetric potentials. The main result is a criterion for eigenvalue accumulation and non-accumulation at the endpoints -1 and 1 of the essential spectrum under rather weak assumptions on the potential. This result is proved by showing an analogous criterion for the associated radial Dirac operators H-kappa and by proving that for 
sufficiently large, each H-kappa does not have any eigenvalues in the interval (-1, 0] and [0, 1), respectively, of the gap (-1, 1) of the essential spectrum. For the latter, properties of solutions of certain Riccati differential equations depending on the parameter kappa and the spectral parameter are used.
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