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Quasiclassical soliton solutions of the Hartree equation. Newtonian interaction with screening. (English. Russian original) Zbl 1138.81416

Theor. Math. Phys. 40, No. 2, 715-721 (1980); translation from Teor. Mat. Fiz. 40, No. 2, 235-244 (1979).
Summary: A quasiclassical series of eigenvalues and spherically symmetric eigenfunctions is constructed for the translationally invariant Hartree equation in the case of the Newtonian interaction with screening (Yukawa potential).

MSC:

81Q20 Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory
81Q05 Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics
35Q51 Soliton equations
35Q40 PDEs in connection with quantum mechanics
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References:

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