论文标题
非自我辅助的等谱几乎是周期性的施罗德林格运营商
Isospectrum of non-self-adjoint almost-periodic Schrodinger operators
论文作者
论文摘要
对于几乎有周期性的Schrödinger运算符,给出了一个标准,以确保其具有相同的频谱和相同的Lyapunov指数,并具有离散的自由laplacian。作为副产品,我们表明,开放差距的Moser-Pöschel论点可能对非自身联想运营商没有效。
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.