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arxiv: 1710.05767 · v2 · pith:4Q55A4YUnew · submitted 2017-10-13 · 🧮 math.SP

On the finite-zone periodic PT-symmetric potentials

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keywords periodicpt-symmetriccomplex-valuedconditionsexplicitfindfinitefinite-zone
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In this paper we find explicit conditions on the periodic PT-symmetric complex-valued potential q for which the number of gaps in the real part of the spectrum of the one-dimensional Schrodinger operator L(q) is finite.

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