%0 DATA
%A O.A., Chalykh
%A V.M., Goncharenko
%A A.P., Veselov
%D 2006
%T Multidimensional integrable Schrodinger operators with matrix potential
%U https://repository.lboro.ac.uk/articles/Multidimensional_integrable_Schrodinger_operators_with_matrix_potential/9384308
%2 https://repository.lboro.ac.uk/ndownloader/files/16996448
%K untagged
%X 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.