Perturbation expansion and Nth order Fermi golden rule of the nonlinear Schrödinger equations

DOI10.1063/1.2716971zbMath1144.81430OpenAlexW1490372343MaRDI QIDQ3529744

Gang Zhou

Publication date: 14 October 2008

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.2716971

Mathematics Subject Classification ID

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

Related Items (7)

Coordinates at small energy and refined profiles for the nonlinear Schrödinger equation ⋮ On scattering of small energy solutions of non-autonomous Hamiltonian nonlinear Schrödinger equations ⋮ Long Time Dynamics and Coherent States in Nonlinear Wave Equations ⋮ The Hamiltonian structure of the nonlinear Schrödinger equation and the asymptotic stability of its ground states ⋮ Consecutive Rosochatius deformations of the Garnier system and the Hénon-Heiles system ⋮ On instability of excited states of the nonlinear Schrödinger equation ⋮ A survey on asymptotic stability of ground states of nonlinear Schrödinger equations. II

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