Projectively applicable surfaces and commuting Schrodinger operators with magnetic terms

Evgueni Ferapontov (E.V.Ferapontov@lboro.ac.uk)
Loughborough University
Loughborough Leics,
LE11 3TU, United Kingdom

Abstract

It will be demonstrated that the position vector of a projectively applicable surface in P^3 is a joint eigenfunction of two commuting second order operators with magnetic terms.