作为薛定谔动力学长时间渐近中WKB修正的演化方程
偏微分方程分析
2009-09-01 v1 数学物理
math.MP
摘要
我们考虑具有长程势且其径向导数具有短程性质的3维薛定谔算子。研究了非定态问题的长时间渐近性，并证明了修正波算子的存在性。结果表明，标准的WKB修正应被某个演化方程的解所取代。
引用
@article{arxiv.0908.4289,
title = {An evolution equation as the WKB correction in long-time asymptotics of Schrodinger dynamics},
author = {Sergey A. Denisov},
journal= {arXiv preprint arXiv:0908.4289},
year = {2009}
}
备注
This is a preprint of an article whose final and definitive form has been published in Comm. Partial Differential Equations, available online at http://www.informaworld.com