Stationary Scattering in the Semi-classical Limit for a Schrodinger Operator in a Gauge Field

R. Brummelhuis; P. Levy-Bruhl; J. Nourrigat

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Stationary Scattering in the Semi-classical Limit for a Schrodinger Operator in a Gauge Field

机译：规范场中薛定inger算子在半经典极限中的平稳散射

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摘要

We study the classical limit of the stationary scattering theory for a Schrodinger operator in a compactly supported gauge field. We show that, under suitable hypotheses on the associated classical flow, the scattering amplitude has a complete asymptotic expansion in the semi-classical parameter, and we determine the main term of this expansion.

机译：我们研究了在紧凑支撑规范场中对于Schrodinger算子的平稳散射理论的经典极限。我们表明，在有关经典流的适当假设下，散射振幅在半经典参数中具有完整的渐近展开，并确定了该展开的主要项。

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《Journal of Functional Analysis》 |1999年第2期|共43页
作者
R. Brummelhuis; P. Levy-Bruhl; J. Nourrigat;
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正文语种 eng
中图分类数学;
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1. Stationary Scattering in the Semi-classical Limit for a Schrodinger Operator in a Gauge Field [J] . R. Brummelhuis, P. Levy-Bruhl, J. Nourrigat Journal of Functional Analysis . 1999,第2期

机译：规范场中薛定inger算子在半经典极限中的平稳散射
2. SEMI-CLASSICAL LIMIT OF THE LOWEST EIGENVALUEOF A SCHRODINGER OPERATOR ON A WIENER SPACE:I. UNBOUNDED ONE PARTICLE HAMILTONIANS [J] . Shigeki Aida Asterisque . 2009,第327期

机译：Wier空间上Schrodinger算子的最低特征值的半经典极限：I．未绑定的一粒子哈密尔顿
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机译：紧黎曼流形上路径空间上薛定inger算子的频谱底部的半经典极限
4. Semi-classical Limits of the Riesz Means of N-body Schrödinger operators [C] . Jia Xiaoyao, Guo Feiyan 2012 International Conference on Advanced Mechatronic Systems. . 2012

机译：N体Schrödinger算子Riesz均值的半经典极限
5. Scattering for Schrodinger-type operators in exterior domains containing surfaces with interfaces. [D] . O'Dell, Stephen James. 2007

机译：Schrodinger型算子在包含具有接口的曲面的外部域中的散射。
6. Stationary Schrödinger equation in the semi-classical limit: numerical coupling of oscillatory and evanescent regions [O] . Anton Arnold, Claudia Negulescu -1

机译：半经典极限中的平稳Schrödinger方程：振荡和渐逝区域的数值耦合
7. Stationary Scattering in the Semi-classical Limit for a Schrödinger Operator in a Gauge Field [O] . Brummelhuis R., Levy-Bruhl P., Nourrigat J. 1999

机译：规范场中Schrödinger算子在半经典极限中的平稳散射
8. Absence of Resonances for Schrodinger Operators with Non-Trapping Potentials in the Classical Limit [R] . Klein, M. 1985

机译：经典极限中具有非陷阱势的薛定谔算子的无共振

Stationary Scattering in the Semi-classical Limit for a Schrodinger Operator in a Gauge Field

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