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Semiclassical soliton-type solutions of the Hartree equation

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Publication:957791
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DOI10.1134/S1064562407050341zbMath1158.35099OpenAlexW2013245977MaRDI QIDQ957791

M. F. Kondrat'eva, E. I. Smirnova, Vladimir V. Belov

Publication date: 1 December 2008

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562407050341


zbMATH Keywords

solitonHamiltonian systemHartree equationWKB-Maslov method


Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Soliton equations (35Q51) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) PDEs in connection with relativity and gravitational theory (35Q75)


Related Items (2)

Strong semiclassical approximation of Wigner functions for the Hartree dynamics ⋮ Semiclassical propagation of coherent states for the Hartree equation




Cites Work

  • Unnamed Item
  • Semiclassical trajectory-coherent approximation in quantum mechanics. I: High-order corrections to multidimensional time-dependent equations of Schrödinger type
  • Long-range transfer in DNA
  • Global existence of solutions to the Cauchy problem for time-dependent Hartree equations
  • Solitons in Molecular Systems




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