Relative Oscillation Theory for Dirac Operators

  title={Relative Oscillation Theory for Dirac Operators},
  author={Robert Stadler and Gerald Teschl},
We develop relative oscillation theory for one-dimensional Dirac operators which, rather than measuring the spectrum of one single operator, measures the difference between the spectra of two different operators. This is done by replacing zeros of solutions of one operator by weighted zeros of Wronskians of solutions of two different operators. In particular, we show that a Sturm-type comparison theorem still holds in this situation and demonstrate how this can be used to investigate the number… CONTINUE READING