Bifurcation and stability for nonlinear Schrödinger equations with double well potential in the semiclassical limit

DOI10.1007/s10955-011-0356-yzbMath1252.82017arXiv1104.1511OpenAlexW2142511346MaRDI QIDQ658514

Andrea Sacchetti, Reika Fukuizumi

Publication date: 12 January 2012

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

Full work available at URL: https://arxiv.org/abs/1104.1511

zbMATH Keywords

nonlinear Schrödinger equationorbital stabilityspontaneous symmetry breaking bifurcation

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) NLS equations (nonlinear Schrödinger equations) (35Q55) Quantum equilibrium statistical mechanics (general) (82B10) Bifurcations in context of PDEs (35B32)

Related Items (9)

Nonlinear Stark--Wannier Equation ⋮ Nonlinear Schrödinger equations with multiple-well potential ⋮ Bifurcations of relative periodic orbits in NLS/GP with a triple-well potential ⋮ Stability and symmetry-breaking bifurcation for the ground states of a NLS with a \(\delta ^{\prime}\) interaction ⋮ Normal form for the symmetry-breaking bifurcation in the nonlinear Schrödinger equation ⋮ Stability of ground states for logarithmic Schrödinger equation with a \(\delta'\)-interaction ⋮ Nonlinear models and bifurcation trees in quantum mechanics: a review of recent results ⋮ Stationary states for nonlinear Schrödinger equations with periodic potentials ⋮ On a mathematical model for a damped and driven double-well Bose-Einstein condensate

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