The evolution operator of the Hartree-type equation with a quadratic potential

Результат исследований: Материалы для журналаСтатья

15 Цитирования (Scopus)

Аннотация

Based on the ideology of the Maslov complex germ theory, a method has been developed for finding an exact solution of the Cauchy problem for a Hartree-type equation with a quadratic potential in the class of semiclassically concentrated functions. The nonlinear evolution operator has been obtained in explicit form in the class of semiclassically concentrated functions. Parametric families of symmetry operators have been found for the Hartree-type equation. With the help of symmetry operators, families of exact solutions of the equation have been constructed. Exact expressions are obtained for the quasi-energies and their respective states. The Aharonov-Anandan geometric phases are found in explicit form for the quasi-energy states.

Язык оригиналаАнглийский
Страницы (с-по)4535-4556
Число страниц22
ЖурналJournal of Physics A: Mathematical and General
Том37
Номер выпуска16
DOI
СостояниеОпубликовано - 23 апр 2004

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Statistical and Nonlinear Physics
  • Mathematical Physics

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