Geodesic
Quasiclassical soliton solutions of the Hartree equation. Newtonian interaction with screening
Teoretičeskaâ i matematičeskaâ fizika, Tome 40 (1979) no. 2, pp. 235-244 Cet article a éte moissonné depuis la source Math-Net.Ru

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A quasiclassical series of eigenvalues and spherically symmetric eigenfunetions is constructed for the translationally invariant Hartree equation in the case of the Newtonian interaction with screening (Yukawa potential). 
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     title = {Quasiclassical soliton solutions of the {Hartree} equation. {Newtonian} interaction with screening},
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M. V. Karasev; V. P. Maslov. Quasiclassical soliton solutions of the Hartree equation. Newtonian interaction with screening. Teoretičeskaâ i matematičeskaâ fizika, Tome 40 (1979) no. 2, pp. 235-244. http://geodesic.mathdoc.fr/item/TMF_1979_40_2_a5/

[1] E. H. Lieb, B. Simon, Commun. Math. Phys., 53 (1977), 185 | DOI | MR

[2] J. M. Chadam, R. T. Glassey, J. Math. Phys., 16 (1975), 1122 | DOI | MR | Zbl

[3] V. P. Maslov, Kompleksnye markovskie tsepi i kontinualnyi integral Feinmana, «Nauka», 1976 | MR

[4] V. P. Maslov, Sovremennye problemy matematiki, 11, VINITI, 1978, 153

[5] M. V. Karasev, V. P. Maslov, Sovremennye problemy matematiki, 13, VINITI, 1979, 145 | MR

[6] N. S. Zinchenko, Kurs lektsii po elektronnoi optike, KhGU, Kharkov, 1958

[7] V. P. Maslov, Teoriya vozmuschenii i asimptoticheskie metody, MGU, 1965 | MR

[8] L. V. Kantorovich, V. I. Krylov, Priblizhennye metody vysshego analiza, Fizmatgiz, 1962 | MR

[9] N. N. Bogolyubov, K. P. Gurov, ZhETF, 17 (1947), 714 | MR