Geodesic
Analytic properties of solution of electronic Schr\"odinger equation
Teoretičeskaâ i matematičeskaâ fizika, Tome 88 (1991) no. 1, pp. 31-36

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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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     author = {P. V. Ganelin and V. I. Pupyshev},
     title = {Analytic properties of solution of electronic {Schr\"odinger} equation},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {31--36},
     publisher = {mathdoc},
     volume = {88},
     number = {1},
     year = {1991},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1991_88_1_a5/}
}
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P. V. Ganelin; V. I. Pupyshev. Analytic properties of solution of electronic Schr\"odinger equation. Teoretičeskaâ i matematičeskaâ fizika, Tome 88 (1991) no. 1, pp. 31-36. http://geodesic.mathdoc.fr/item/TMF_1991_88_1_a5/