由窗口耦合的一对非对称波导的离散谱
数学物理
2007-05-23 v3 math.MP
量子物理
摘要
在本文中,我们研究一对具有公共边界的量子二维波导的离散谱,其中裁出一个有限长度的窗口。我们研究当窗口长度经过临界值时从本质谱阈值涌现新本征值的现象。我们针对小参数(即窗口当前长度与最近临界值之差)构造涌现本征值的渐近展开。我们也研究窗口长度无界增长时谱的行为,并针对大参数(即窗口长度)构造渐近展开。
引用
@article{arxiv.math-ph/0512066,
title = {Discrete spectrum of a pair of nonsymmetric waveguides coupled by a window},
author = {Denis I. Borisov},
journal= {arXiv preprint arXiv:math-ph/0512066},
year = {2007}
}
备注
The original text was written in Russian. This is a translation made by the author. In the revised version just some minor changes were made