Spectrum of molecular electron energy operators in spaces of functions of specified symmetry

The spectrum of the molecular electron energy operator $H$ is investigated for the case of molecules with fixed nuclei situated such that transformations of the point group $G$ carry identical nuclei into each other. On the spaces of electron wavefuuctions corresponding to the product of irreducible representations of the permutation groups $S_n$ and $G$, the limiting spectrum $H$ is found, and the existence of an infinite number of points of the discrete spectrum is proved for neutral molecules and for positive molecular ions.