Nonlinear Time-dependent Schrä Odinger Equations: the Gross-pitaevskii Equation with Double-well Potential

نویسنده

  • ANDREA SACCHETTI
چکیده

We consider a class of SchrÄodinger equations with a symmetric double-well potential and an external, both repulsive and attractive, nonlinear perturbation. We show that, under certain conditions, the reduction of the time-dependent equation to a two-mode equation gives the dominant term of the solution with a precise estimate of the error.

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تاریخ انتشار 2007