Generalizations of Menchov-Rademacher Theorem and Existence of Wave Operators in Schrodinger Evolution

Denisov Sergey; Mohamed Liban

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Generalizations of Menchov-Rademacher Theorem and Existence of Wave Operators in Schrodinger Evolution

机译：施罗德格演化中的Menchov-Remacher定理和波运营商存在的概括

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摘要

We obtain generalizations of the classical Menchov-Rademacher theorem to the case of continuous orthogonal systems. These results are applied to show the existence of Moller wave operators in. Schrodinger evolution.

机译：我们将经典的Menchov-Rademacher定理推广到连续正交系统的情形。这些结果被应用于证明Moller波算符的存在性。薛定谔进化论。

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来源
《Canadian Journal of Mathematics》 |2021年第2期|共23页
作者
Denisov Sergey; Mohamed Liban;
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作者单位

Univ Wisconsin Dept Math 480 Lincoln Dr Madison WI 53706 USA;

Univ Wisconsin Dept Math 480 Lincoln Dr Madison WI 53706 USA;

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原文格式 PDF
正文语种 eng
中图分类数学;
关键词
scattering; Schrodinger equation; Menchov-Rademacher;

机译：散射;Schrodinger方程;Menchov-Remacher;

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7. Generalization of the optical theorem: experimental proof for radially polarized beams [O] . Alexey V. Krasavin, Paulina Segovia, Rostyslav Dubrovka, 2018

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8. Generalizations of Menchov–Rademacher Theorem and Existence of Wave Operators in Schrödinger Evolution [O] . Sergey Denisov, Liban Mohamed 2019

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9. Littlewood-Paley Theorem for Schrodinger Operators. [R] . Zheng, S. 2006

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Generalizations of Menchov-Rademacher Theorem and Existence of Wave Operators in Schrodinger Evolution

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