Semi-Classical-Fourier-Integral-Operator-Valued Pseudodifferential Operators and Scattering in a Strong Magnetic Field

Alexandrova Ivana

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Semi-Classical-Fourier-Integral-Operator-Valued Pseudodifferential Operators and Scattering in a Strong Magnetic Field

机译：半古典傅里叶 - 积分 - 算子值伪分子经营者和强磁场中的散射

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摘要

We analyze the microlocal structure of the semi-classical scattering amplitude for Schrodinger operators with a strong magnetic and a strong electric field at non-trapping energies. For this purpose, we develop a framework and establish some of the properties of semi-classical-Fourier-integral-operator-valued pseudodifferential operators and prove that the scattering amplitude is given by such an operator.

机译：我们在非捕获能量下分析了Schrodinger算子的半古典散射幅度的微透镜结构。为此目的，我们开发了一个框架并建立了半级傅里叶积分 - 算子值的一些特性，并证明了这样的操作员给出散射幅度。

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来源
《The Journal of geometric analysis》 |2018年第3期|共43页
作者
Alexandrova Ivana;
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作者单位

SUNY Albany Dept Math &

Stat 1400 Washington Ave Earth Sci 110 Albany NY 12222 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 theory; Strong magnetic field; Semi-classical Fourier integral operators;

机译：散射理论;强磁场;半古典傅里叶积分运算符;

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专利

1. Semi-Classical-Fourier-Integral-Operator-Valued Pseudodifferential Operators and Scattering in a Strong Magnetic Field [J] . Alexandrova Ivana The Journal of geometric analysis . 2018,第3期

机译：半古典傅里叶 - 积分 - 算子值伪分子经营者和强磁场中的散射
2. Riesz Kernels and Pseudodifferential Operators Attached to Quadratic Forms over p-Adic Fields [J] . O. Casas-Sánchez, W. A. Zú?iga-Galindo P-adic numbers, ultrametric analysis and applications . 2013,第3期

机译：Riesz核和伪微分算子附于p-Adic场上的二次形式
3. Deforming the Lie superalgebra of contact vector fields on S~(1{pipe}2) inside the Lie superalgebra of pseudodifferential operators on S~(1{pipe}2) [J] . Ben Fraj N., Omri S. Theoretical and mathematical physics . 2010,第2期

机译：在S〜（1 {pipe} 2）上伪微分算子的Lie超级代数内的S〜（1 {pipe} 2）上的接触矢量场的Lie超级代数的变形
4. High-pressure cells for study of condensed matter by diffraction and inelastic neutron scattering at low temperatures and in strong magnetic fields [C] . R A Sadykov, Th Strassle, A Podlesnyak, International Conference on Laser and Plasma Researches and Technologies . 2017

机译：高压电池通过在低温下衍射和非弹性中子散射研究冷凝物和强磁场
5. Bhabha scattering and trident production in strong uniform magnetic fields. [D] . Sina, Ramin. 1996

机译：强均匀磁场中的Bhabha散射和三叉戟产生。
6. Weak Broadband Electromagnetic Fields are More Disruptive to Magnetic Compass Orientation in a Night-Migratory Songbird (Erithacus rubecula) than Strong Narrow-Band Fields [O] . Susanne Schwarze, Nils-Lasse Schneider, Thomas Reichl, 2016

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7. Scattering theory for pseudodifferential operators. II. The completeness of wave operators [O] . Umeda Tomio 2014

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8. Realization of vector fields for quantum groups as pseudodifferential operators on quantum spaces [R] . Chu, C. S. , Zumino, B. 1995

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Semi-Classical-Fourier-Integral-Operator-Valued Pseudodifferential Operators and Scattering in a Strong Magnetic Field

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