Analysis of superlattice structure using spectal analysis of Schroedinger operator

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We studied spectral structure of some mathematical model of superlattice semiconductor device. Our results are as follows ; we studied the number of eigenvalues of Schroedinger operator with point interactions. In one dimensional case, we extended the known results under some restrictions to the ones without the restrictions. In two and three dimensional cases, though any results are unknown, we obtained the new results. We can treat discrete version of these models. We obtained similar results in one dimensional case and proved the dependence on the hyperbolicity in multidimensional cases.