Abstract:
Solution of nonlinear Hartree equation in the asymptotical limit of strong coupling
is obtained for the case of attractive potentials of the Gaussian form. Absence of solutions
of the Hartree equation with zero energy in three-dimensional space is demonstrated.
This publication is cited in the following 24 articles:
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Asymptotic solution of the one-dimensional hartree equation with the non-smooth interaction potential. asymtotics of quantum averages
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Zoran Vosika, Željko Pržulj, Ljupčo Hadžievski, Zoran Ivić, “Properties of the moving Holstein large polaron in one-dimensional molecular crystals”, J. Phys.: Condens. Matter, 21:27 (2009), 275404
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A. V. Pereskokov, “Asymptotic Solutions of Two-Dimensional Hartree-Type Equations Localized in the Neighborhood of Line Segments”, Theoret. and Math. Phys., 131:3 (2002), 775–790
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