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arXiv 1208.4556math-phmath.MPnlin.SI
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基于Moutard变换的二维Schrodinger算子的Faddeev本征函数

Faddeev eigenfunctions for two-dimensional Schrodinger operators via the Moutard transformation

I. A. Taimanov, S. P. Tsarev

摘要:

我们演示了如何Moutard变换的二维薛定谔算子的Faddeev本征函数的作用在零能级,并提出了一些明确计算的例子,这样的本征函数的光滑快速衰减潜力的运营商与非平凡的内核和变形的潜力,对应于炸毁解决方案的Novikov-Veselov方程。

英文摘要:

We demonstrate how the Moutard transformation of two-dimensional Schrodinger operators acts on the Faddeev eigenfunctions on the zero energy level and present some explicitly computed examples of such eigenfunctions for smooth fast decaying potentials of operators with non-trivial kernel and for deformed potentials which correspond to blowing up solutions of the Novikov-Veselov equation.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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