Analog of Wilczynski's projective frame in Lie sphere geometry: Lie-applicable surfaces and commuting Schrodinger operators with magnetic fields

被引：10

作者：

Ferapontov, EV ^{[1
]}

机构：

[1] Loughborough Univ Technol, Dept Math Sci, Loughborough LE11 3TU, Leics, England

[2] Russian Acad Sci, Ctr Nonlinear Studies, Landau Inst Theoret Phys, Moscow 117940, Russia

来源：

INTERNATIONAL JOURNAL OF MATHEMATICS | 2002年 / 13卷 / 09期

基金：

英国工程与自然科学研究理事会;

关键词：

Lie sphere geometry; Wilczynski's frame; Schrodinger operators with magnetic terms;

D O I：

10.1142/S0129167X0200154X

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：959 / 985

页数：27