Isospectral mathieu - hill operators
Citation
VELİEV, O.A. (2013). Isospectral mathieu - hill operators. Letters in Mathematical Physics, 103 (8), pp. 919-925. https://dx.doi.org/10.1007/s11005-013-0627-4.Abstract
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.
