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arXiv 2206.02400math.DSmath-phmath.MPmath.SP
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Isospectrum of non-self-adjoint almost-periodic Schrodinger operators

Xueyin Wang, Jiangong You, Qi Zhou

英文摘要:

For non-self-adjoint almost-periodic Schrödinger operators, a criterion is given to guarantee that they have both the same spectrum and same Lyapunov exponents with the discrete free Laplacian. As a byproduct, we show that the Moser-Pöschel argument for opening gaps may not be valid for non-self-adjoint operators.

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