Funkcialaj Ekvacioj
Print ISSN : 0532-8721
On the Location of the Degenerate Spectral Gaps of the Generalized Kronig-Penney Hamiltonians
Hiroaki Niikuni
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Keywords: Kronig-Penney Hamiltonian, Generalized point interaction, Band structure, Spectral gap, Cramer's formula, Monodromy matrix
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2010 Volume 53 Issue 2 Pages 311-330

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Abstract

We discuss the one-dimensional Schrödinger operators with two generalized point interactions in the basic period cell [0,2π). In this paper, we investigate the coexistence problem for them. Namely, we analyze the set of the position of the degenerate spectral gaps.

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© 2010 by the Division of Functional Equations, The Mathematical Society of Japan
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