Chalykh, O.A.
Goncharenko, V.M.
Veselov, A.P.
Multidimensional integrable Schrodinger operators with matrix potential
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.
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2006-02-15
https://repository.lboro.ac.uk/articles/Multidimensional_integrable_Schrodinger_operators_with_matrix_potential/9384308