Adiabatic limit and the slow motion of vortices in a Chern-Simons-Schrödinger system
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Publication:1048059
DOI10.1007/s00220-009-0844-yzbMath1185.81071arXiv0905.0998OpenAlexW2013102775MaRDI QIDQ1048059
Sophia Demoulini, David M. A. Stuart
Publication date: 11 January 2010
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0905.0998
Unified quantum theories (81V22) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Electromagnetic interaction; quantum electrodynamics (81V10) NLS equations (nonlinear Schrödinger equations) (35Q55)
Related Items (10)
A generic framework of adiabatic approximation for nonlinear evolutions ⋮ Dynamics of vortices with magnetic impurities ⋮ Attractors of Hamilton nonlinear PDEs ⋮ Energy solution to the Chern-Simons-Schrödinger equations ⋮ Convergence of the self-dual Ginzburg-Landau gradient flow ⋮ Hydrodynamic limits of Manton's Schrödinger system ⋮ Attractors of nonlinear Hamiltonian partial differential equations ⋮ Kähler quantization of vortex moduli ⋮ Statics and dynamics of magnetic vortices and of Nielsen–Olesen (Nambu) strings ⋮ Adiabatic approximation for the motion of Ginzburg-Landau vortex filaments
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