Abstract For one-dimensional non-selfadjoint Schrödinger and Dirac operators with periodic complex-valued potentials belonging to the class $$L_2 $$ , asymptotic representations for spectral gaps are obtained in terms of Fourier coefficients of the potentials and estimates for the gap lengths are given.

中文翻译：

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薛定谔和狄拉克算子的谱隙长度估计

摘要 对于具有属于 $$L_2 $$ 类的周期性复值势的一维非自伴随薛定谔和狄拉克算子，根据势的傅立叶系数获得谱间隙的渐近表示，并且间隙长度的估计为给。