Weakly nonlinear time-adiabatic theory

DOI10.1007/s00023-015-0412-2zbMath1337.81056arXiv1411.0335OpenAlexW2964169582MaRDI QIDQ270233

Christof Sparber

Publication date: 7 April 2016

Published in: Annales Henri Poincaré (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1411.0335

zbMATH Keywords

nonlinear Schrödinger equationsadiabatic stabilitylinear and nonlinear bound states

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) NLS equations (nonlinear Schrödinger equations) (35Q55) Adiabatic invariants for problems in Hamiltonian and Lagrangian mechanics (70H11) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Related Items

Quantum Dynamics with the Parallel Transport Gauge, A nonlinear quantum adiabatic approximation, The NLS limit for Bosons in a quantum waveguide, Adiabatic theorems for general linear operators with time-independent domains, A non-linear adiabatic theorem for the one-dimensional Landau-Pekar equations, Adiabatic Lindbladian evolution with small dissipators

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