Double and triple points in the spectra of the cubic symmetry Hamiltonian

Accidental degeneracy of levels is studied in the spectrum of the Hamiltonian used frequently in applications, which is a linear combination of spherical tensors rank n<or=6 invariant with respect to transformations of a cubic group. The degeneracy arises only at definite values of the Hamiltonian parameters and seems to be irrelevant with respect to increasing Hamiltonian symmetry. The basis of irreducible representations DGamma of the cubic group is constructed in the space of irreducible representations DJ of the SO(3) group.

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