Semiclassical singularities propagation propertyfor Schrodinger equations

Shu NAKAMURA

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Semiclassical singularities propagation propertyfor Schrodinger equations

机译：薛定谔方程的半经典奇点传播特性

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We consider Schrodinger equations with variable coefficients, whichare long-range type perturbations of the flat Laplacian on . We characterize thewave front set of solutions to Schrodinger equations in terms of the initial state. Thenit is shown that the singularities propagates along the classical flow, and results areformulated in a semiclassical setting. Methods analogous to the long-range scatteringtheory, in particular a modified free propagator, are employed.

机译：我们考虑了具有可变系数的薛定谔方程，它们是平坦拉普拉斯方程的长程型扰动。我们根据初始状态来描述薛定谔方程的波前解集。然后表明奇点沿经典流传播，结果在半经典环境中形成。采用类似于长程散射理论的方法，特别是改进的自由传播器。

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来源
《Journal of the Mathematical Society of Japan》 |2009年第1期|177-211|共35页
作者
Shu NAKAMURA;
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作者单位

Graduate School of Mathematical ScienceUniversity of Tokyo 3-8-1 Komaba, Meguro Tokyo, 153-8914, Japan;

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收录信息美国《科学引文索引》(SCI);
原文格式 PDF
正文语种英语
中图分类数学;
关键词
perturbations; singularities; equations;

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Semiclassical singularities propagation propertyfor Schrodinger equations

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