Geodesic
Analytic properties of solution of electronic Schrödinger equation
Teoretičeskaâ i matematičeskaâ fizika, Tome 88 (1991) no. 1, pp. 31-36 
P. V. Ganelin; V. I. Pupyshev. Analytic properties of solution of electronic Schrödinger equation. Teoretičeskaâ i matematičeskaâ fizika, Tome 88 (1991) no. 1, pp. 31-36. http://geodesic.mathdoc.fr/item/TMF_1991_88_1_a5/
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     author = {P. V. Ganelin and V. I. Pupyshev},
     title = {Analytic properties of solution of electronic {Schr\"odinger} equation},
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     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1991_88_1_a5/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

It is shown that for a nondegenerate electronic state of a molecule the energy is an analytic function of the nuclear coordinates everywhere except points at which the nuclei coincide. The proof is based on construction of a parametric substitution of the coordinates and an associated analytic family of operators. It is found that the eigenfunctions of the molecular Hamiltonian do not have a square integrable third derivative with respect to the nuclear coordinates.

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