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تسجيل مستخدم جديدBerry phases for 3D Hartree type equations with a quadratic potential and a uniform magnetic field
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A countable set of asymptotic space -- localized solutions is constructed by the complex germ method in the adiabatic approximation for 3D Hartree type equations with a quadratic potential. The asymptotic parameter is 1/T, where $Tgg1$ is the adiabatic evolution time. A generalization of the Berry phase of the linear Schrodinger equation is formulated for the Hartree type equation. For the solutions constructed, the Berry phases are found in explicit form.
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