论文标题
一维离散schrödinger操作员的判别式扰动具有稀疏的周期性潜力
Perturbation of discriminant for one-dimensional discrete Schrödinger operator with sparse periodic potential
论文作者
论文摘要
我们考虑具有复杂值稀疏的周期性潜力的一维离散操作员。复杂值周期电势的光谱是一个复杂的紧凑型在复杂平面中，由代数曲线的真实交叉点表示由判别物确定的代数曲线。我们代表Chebyshev多项式的判别物，并使用判别物的扰动来研究频谱。
We consider the one-dimensional discrete Schrödinger operator with complex-valued sparse periodic potential. The spectrum for a complex-valued periodic potential is a complicated compact set in the complex plane represented by real intersections of algebraic curves determined by a discriminant. We represent the discriminant by Chebyshev polynomials and use perturbations of the discriminant to study the spectrum.
