2134/829
O.A. Chalykh
V.M. Goncharenko
Alexander Veselov
Multidimensional integrable Schrodinger operators with matrix potential
2006
Loughborough University
untagged
2006-02-15 10:57:25
article
https://repository.lboro.ac.uk/articles/Multidimensional_integrable_Schrodinger_operators_with_matrix_potential/9384308
The Schrodinger operators with matrix rational potential, which are D-integrable, i.e., can be intertwined with the pure Laplacian, are investigated. Corresponding potentials are uniquely determined by their singular data which are a configuration of the hyperplanes in C-n with prescribed matrices. We describe some algebraic conditions (matrix locus equations) on these data, which are sufficient for D-integrability. As the examples some matrix generalizations of the Calogero-Moser operators are considered.