Perturbation expansion and Nth order Fermi golden rule of the nonlinear Schrödinger equations
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Publication:3529744
DOI10.1063/1.2716971zbMath1144.81430OpenAlexW1490372343MaRDI QIDQ3529744
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
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)
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Cites Work
- Unnamed Item
- Unnamed Item
- On soliton dynamics in nonlinear Schrödinger equations
- Stability of semiclassical bound states of nonlinear Schrödinger equations with potentials
- Stability theory of solitary waves in the presence of symmetry. I
- Resonances, radiation damping and instability in Hamiltonian nonlinear wave equations
- Multichannel nonlinear scattering for nonintegrable equations. II: The case of anisotropic potentials and data
- Existence of solitary waves in higher dimensions
- Nonlinear scattering: The states which are close to a soliton
- Nonlinear wave and Schrödinger equations. I: Instability of periodic and quasiperiodic solutions
- On asymptotic stability of solitary waves for nonlinear Schrödinger equations
- Nonspreading wave packets for the cubic Schrödinger equation with a bounded potential
- Resonances in n-body quantum systems with dilatation analytic potentials and the foundations of time-dependent perturbation theory
- Multichannel nonlinear scattering for nonintegrable equations
- Spectra of positive and negative energies in the linearized NLS problem
- ASYMPTOTIC STABILITY OF NONLINEAR SCHRÖDINGER EQUATIONS WITH POTENTIAL
- Bifurcations from the endpoints of the essential spectrum in the linearized nonlinear Schrödinger problem
- Existence of Semiclassical Bound States of Nonlinear Schrödinger Equations with Potentials of the Class (V)a
- Lyapunov stability of ground states of nonlinear dispersive evolution equations
- Stabilization of solutions to nonlinear Schrödinger equations
- Asymptotic dynamics of nonlinear Schrödinger equations: Resonance-dominated and dispersion-dominated solutions
- STABLE DIRECTIONS FOR EXCITED STATES OF NONLINEAR SCHRÖDINGER EQUATIONS
- SELECTION OF THE GROUND STATE FOR NONLINEAR SCHRÖDINGER EQUATIONS
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