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Multidimensional factorization method is formulated in arbitrary curvilinearcoordinates. Particular cases of polar and spherical coordinates are consideredand matrix potentials with separating variables are constructed. A new class ofmatrix potentials is obtained which reveals a double degeneracy or equidistantsplitting of energy levels (hidden symmetry).

Factorization Method in Curvilinear Coordinates and Pairing of Levels for Matrix Potentials