The Bound Band Structure in a Strong Attractive Dirac Comb

Abstract: The Dirac comb problem in quantum mechanics is revisited by estimating its energy band structure, including the band gap, bandwidth, and the effective mass at band edges. The case of an attractive strong Dirac comb potential is considered. Our findings show the existence of a single bound energy band state, which is flat with a small width and a large effective mass at both of its edges; positive at its lower edge and negative at its upper edge. Keywords: Dirac comb, Bound energy, Band structure, Dispersion relation, Band gap, Bandwidth, Effective mass.