Nonrelativistic limit for 2p × 2p–Dirac operators with point interactions on a discrete set

Abstract

We consider two families of realizations of the 2p×2p–Dirac differential expression with point interactions on a discrete set X = {x n }n=1∞ ⊂ ℝ on a half–line (line) and generalize certain results from [10] to the matrix case. We show that these realizations are always self-adjoint. We investigate the nonrelativistic limit as the velocity of light tends to infinity.