Geodesic
Eigenfunctions of the Hartree--Fock equation that are not spherically symmetric
Teoretičeskaâ i matematičeskaâ fizika, Tome 52 (1982) no. 2, pp. 263-269

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For Hartree–Fock operator with a small parameter multiplying the nonlinear term, perturbation theory is used to prove the existence of states that do not possess spherical symmetry and depend smoothly on the parameter. Five branches of eigenvalues are found that emerge from an unperturbed point of the spectrum with multiplicity equal to four. 
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     author = {M. V. Karasev and Yu. V. Osipov},
     title = {Eigenfunctions of the {Hartree--Fock} equation that are not spherically symmetric},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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     publisher = {mathdoc},
     volume = {52},
     number = {2},
     year = {1982},
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     url = {http://geodesic.mathdoc.fr/item/TMF_1982_52_2_a10/}
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M. V. Karasev; Yu. V. Osipov. Eigenfunctions of the Hartree--Fock equation that are not spherically symmetric. Teoretičeskaâ i matematičeskaâ fizika, Tome 52 (1982) no. 2, pp. 263-269. http://geodesic.mathdoc.fr/item/TMF_1982_52_2_a10/