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A.N.Korshunova, V.D.Lakhno, E.E.Shnol.
Solution of the nonlinear self-congruent problem of an electron in a cluster placed in a strong magnetic field //Biophysics, 1999, v.44, №3, p.392-395

      The solutions of the nonlinear Schrodinger equation of an electron in a cluster placed in a strong magnetic field were studied. It was shown that there is a minimal cluster radius at which a localized solution of the one-dimensional nonlinear Schrodinger equation exists. With larger cluster radii, there emerge two, three, and more solutions of the equation. For the solutions found, the energies, the total energies, and the electron radii were numerically calculated. The possibility of experimentally checking the results obtained is discussed.