ANALOG OF WILCZYNSKI'S PROJECTIVE FRAME IN LIE SPHERE GEOMETRY: LIE-APPLICABLE SURFACES AND COMMUTING SCHRÖDINGER OPERATORS WITH MAGNETIC FIELDS
ANALOG OF WILCZYNSKI'S PROJECTIVE FRAME IN LIE SPHERE GEOMETRY: LIE-APPLICABLE SURFACES AND COMMUTING SCHRÖDINGER OPERATORS WITH MAGNETIC FIELDS
复制标题
李球几何中 WILCZYNSKI 射影框架的模拟：适用于李的表面和具有磁场的交换薛定谔算子
DOI：
10.1142/s0129167x0200154x
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发表时间：
2002
影响因子：
0.6
通讯作者：
E. Ferapontov
中科院分区：
文献类型：
--
作者：
E. Ferapontov
本文提出了一种基于线性系统的李球几何曲面的构造方法，该线性系统复制了Wilczynski的射影标架方程。在特殊的情况下，李适用的表面，这个线性系统描述了一对交换薛定谔算子与磁项的联合本征函数。
We propose a construction of surfaces in Lie sphere geometry based on the linear system which copies equations of Wilczynski's projective frame. In the particular case of Lie-applicable surfaces this linear system describes joint eigenfunctions of a pair of commuting Schrodinger operators with magnetic terms.