Scattering of solitons for the Schrödinger equation coupled to a particle

DOI10.1134/S106192080602004XzbMath1118.35040arXivmath/0609649OpenAlexW3103364184MaRDI QIDQ871766

Elena A. Kopylova, Alexander I. Komech

Publication date: 26 March 2007

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

Full work available at URL: https://arxiv.org/abs/math/0609649

zbMATH Keywords

spectral theoryscattering of solitonscoupled Schrödinger equationsymplectic projection

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) PDEs in connection with quantum mechanics (35Q40) Soliton equations (35Q51) Exactly and quasi-solvable systems arising in quantum theory (81U15) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)

Related Items (15)

Asymptotic stability of stationary states in the wave equation coupled to a nonrelativistic particle ⋮ Nonlinear Scattering in the Lamb System ⋮ Attractors of Hamilton nonlinear PDEs ⋮ Weighted energy decay for 3D Klein-Gordon equation ⋮ Asymptotic stability of solitons for nonlinear hyperbolic equations ⋮ Attractors of nonlinear Hamiltonian partial differential equations ⋮ On the Hamilton-Poisson structure and solitons for the Maxwell-Lorentz equations with spinning particle ⋮ On the asymptotic stability of solitary waves in the discrete Schrödinger equation coupled to a nonlinear oscillator ⋮ Scattering in the nonlinear Lamb system ⋮ Weighted Energy Decay for 1D Klein–Gordon Equation ⋮ On asymptotic stability of solitary waves in discrete Klein–Gordon equation coupled to a nonlinear oscillator ⋮ Long time decay for 2D Klein-Gordon equation ⋮ Scattering in the zero-mass Lamb system ⋮ Scattering of solitons for Dirac equation coupled to a particle ⋮ Scattering for a particle interacting with a Bose gas

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