关于非相对论二维纯磁超对称泡利算符
数学物理
2015-01-20 v3 math.MP
谱理论
可精确求解与可积系统
摘要
纯磁二维泡利算符的基态本征函数的完全流形被视为本文作者几年前发现的代数几何逆谱数据（即黎曼曲面和除子）新约化的副产品。该约化与包含著名“Burgers系统”的二维类似物的 (2+1) 孤子层次相关。本文还阐述了自1980年以来先前工作的论述，包括准动量空间中的首个拓扑思想。我们还展示了关于泡利算符自伴边值问题的新结果。二维零级“非谱”Bloch-Floquet 函数给出了附加谱的离散点，类似于有限间隙一维势在能隙中的“边界态”。
引用
@article{arxiv.1101.5678,
title = {On the Nonrelativistic 2D Purely Magnetic Supersymmetric Pauli Operator},
author = {P. Grinevich and A. Mironov and S. Novikov},
journal= {arXiv preprint arXiv:1101.5678},
year = {2015}
}
备注
39 pages, 10 figures, In the latest version discussion on topology studies of the quasimomenta space made by Russian school since 1980 is added. Survey part of this article dedicated to the boundary conditions is also increased. The list of references was essentially extended