DENSE POINT SPECTRUM FOR THE ONE-DIMENSIONAL DIRAC OPERATOR WITH AN ELECTROSTATIC POTENTIAL

For the one-dimensional Dirac operator, examples of electrostatic pote ntials with decay behaviour arbitrarily close to Coulomb decay are con structed for which the operator has a prescribed set of eigenvalues de nse in the whole or part of its essential spectrum. A simple proof tha t the essential spectrum of one-dimensional Dirac operators with elect rostatic potentials is never empty is given in the appendix.