Reduction scheme for semiclassical operator-valued Schrodinger type equation and application to scattering

Sordoni V.

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Reduction scheme for semiclassical operator-valued Schrodinger type equation and application to scattering

机译：半经典算子值薛定inger型方程的简化方案及其在散射中的应用

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We obtain a general reduction scheme for the study of a selfadjoint semiclassical Schrodinger operator with operator-valued potential by the construction of almost invariant subspaces and we apply such results to scattering theory for matrix-valued operators. [References: 18]

机译：通过构造几乎不变的子空间，我们获得了一个具有算子值势的自伴半经典Schrodinger算子研究的一般归约方案，并将这些结果应用于矩阵值算子的散射理论。 [参考：18]

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《Communications in Partial Differential Equations》 |2003年第8期|共16页
作者
Sordoni V.;
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正文语种 eng
中图分类偏微分方程;
关键词
Schrodinger equation; Quasi-invariant subspaces; Scattering; Born-oppenheimer approximation;

机译：薛定inger方程;拟不变子空间;散射;Born-oppenheimer逼近;

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专利

1. Reduction scheme for semiclassical operator-valued Schrodinger type equation and application to scattering [J] . Sordoni V. Communications in Partial Differential Equations . 2003,第7a8期

机译：半经典算子值薛定inger型方程的简化方案及其在散射中的应用
2. Localized nodal solutions of higher topological type for semiclassical nonlinear Schrodinger equations [J] . Chen Shaowei, Wang Zhi-Qiang Calculus of variations and partial differential equations . 2017,第1期

机译：用于半导体非线性Schrodinger方程的高级拓扑类型的局部节点解
3. Localized nodal solutions of higher topological type for semiclassical nonlinear Schrodinger equations [J] . Chen Shaowei, Wang Zhi-Qiang Calculus of variations and partial differential equations . 2017,第1期

机译：半透数非线性施罗德格方程局部拓扑型局部节点解
4. Resolvent estimates for schrodinger-type and maxwell equations with applications [C] . Matania Ben-Artzi, Jonathan Nemirovsky Congress of the International Society for Analysis, Applications, and Computing;ISAAC . 1998

机译：Schrodinger型和麦克斯韦方程与应用的解析估计
5. Nonlinear Schrodinger equations with potentials: Evolution, existence and stability of semiclassical bound states. [D] . Oh, Yong-Geun. 1988

机译：具有势能的非线性Schrodinger方程：半经典束缚态的演化，存在和稳定性。
6. A customizable software for fast reduction and analysis of large X-ray scattering data sets: applications of the new DPDAK package to small-angle X-ray scattering and grazing-incidence small-angle X-ray scattering [O] . Gunthard Benecke, Wolfgang Wagermaier, Chenghao Li, -1

机译：可定制的软件用于快速减少和分析大型X射线散射数据集：新的DPDAK软件包在小角度X射线散射和掠入射小角度X射线散射中的应用
7. Reduction scheme for semiclassical operator-valued Schrödinger type equation and application to scattering [O] . Vania Sordoni 2001

机译：半经典算子值schrödinger型方程的约简方案及其在散射中的应用
8. Stability Analysis of Difference Schemes for Variable Coefficient Schrodinger Type Equations [R] . Chan, T. F., Shen, L. 1985

机译：变系数薛定谔方程差分格式的稳定性分析

Reduction scheme for semiclassical operator-valued Schrodinger type equation and application to scattering

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