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Perturbation expansion and \(N\)th order Fermi golden rule of the nonlinear Schrödinger equations. (English) Zbl 1144.81430

Summary: In this paper we consider generalized nonlinear Schrödinger equations with external potentials. we compute the forth and the sixed order Fermi Golden Rules (FGR), conjectured in our previous papers, which is used in a study of the asymptotic dynamics of trapped solitons.

MSC:

47N50 Applications of operator theory in the physical sciences
35Q55 NLS equations (nonlinear Schrödinger equations)
81Q15 Perturbation theories for operators and differential equations in quantum theory
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