Journal
LETTERS IN MATHEMATICAL PHYSICS
Volume 103, Issue 8, Pages 919-925Publisher
SPRINGER
DOI: 10.1007/s11005-013-0627-4
Keywords
Mathieu-Hill operator; spectrum; isospectral operators
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In this paper we prove that the spectra of the Mathieu-Hill Operators with potentials ae(-i2 pi x) +be (i2 pi x) and ce(-i2 pi x) +de (i2 pi x) , where a, b, c and d are complex numbers, are the same if and only if ab = cd. This immediately results in a generalization of the extension of the Harrell-Avron-Simon formula.
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