Abstract.
We discuss the one-dimensional Schrödinger operator with generalized point interaction on a lattice. We give a characterization of the band edges of its spectrum by the rotation number.
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Communicated by Claude-Alain Pillet.
Submitted: December 18, 2006. Accepted: February 23, 2007.
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Niikuni, H. The Rotation Number for the Generalized Kronig–Penney Hamiltonians. Ann. Henri Poincaré 8, 1279–1301 (2007). https://doi.org/10.1007/s00023-007-0335-7
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DOI: https://doi.org/10.1007/s00023-007-0335-7