Scattering for the fractional magnetic Schrodinger operators

Lei Wei; Zhiwen Duan

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arXiv · 2304.07846

Scattering for the fractional magnetic Schrodinger operators

Lei Wei·Zhiwen Duan

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Abstract

In this paper, we prove the existence of the scattering operator for the fractional magnetic Schrodinger operators. For this, we construct the fractional distorted Fourier transforms with magnetic potentials. Applying the properties of the distorted Fourier transforms, the existence and the asymptotic completeness of the wave operators are obtained. Furthermore, we prove the absence of positive eigenvalues for Schrodinger operators.

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Lei Wei, Zhiwen Duan. 2023-04-16. Scattering for the fractional magnetic Schrodinger operators. https://arxiv.org/abs/2304.07846

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