Abstract
Numerically exact nonadiabatic eigenfunctions are computed for a two-dimensional conical intersection with circular symmetry, for which a pseudorotation quantum number is conserved and all eigenstates are doubly degenerate. In the calculations reported here, the conical intersection is submerged, with energy below the zero point level. The complete real-valued vibrational-electronic eigenfunctions are visualized using Hunter’s exact factorization for the total vibrational amplitude factor and color for the electronic factor. The zero-point levels have nonzero amplitude at the conical intersection. Nodes in the degenerate nonadiabatic eigenfunctions are classified as accidental if they can be moved or removed by a change in degenerate basis and as essential if they cannot. An integer electronic index defines the order of the nodes for nonadiabatic eigenfunctions by simple closed counterclockwise line integrals. Higher eigenstates can have accidental conical nodes around the conical intersection and essenti...
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