The finite spectrum problems for Dirac operators

Abstract

In the present paper, the finite spectrum problem of Dirac operators is studied. For each nonnegative integer m, we construct a class of regular Dirac operator which has at most $n=2m+1$ eigenvalues. The method presented is based on choosing the coefficients of the Dirac equation such that they are alternatively zero on consecutive subintervals and iterative construction of the characteristic function.