Exponential times in the one-dimensional Gross-Pitaevskii equation with multiple well potential

DOI10.1007/s00220-007-0293-4zbMath1134.35097arXivmath-ph/0609083OpenAlexW2130677685MaRDI QIDQ2384771

Andrea Sacchetti, Dario Bambusi

Publication date: 10 October 2007

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0609083

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) Statistical mechanics of superfluids (82D50) Continuation and prolongation of solutions to PDEs (35B60)

Related Items (9)

Bounds on the tight-binding approximation for the Gross-Pitaevskii equation with a periodic potential ⋮ A nonlinear Landau-Zener formula ⋮ Nonlinear Schrödinger equations with multiple-well potential ⋮ Bifurcation and stability for nonlinear Schrödinger equations with double well potential in the semiclassical limit ⋮ Nonlinear models and bifurcation trees in quantum mechanics: a review of recent results ⋮ A minimal energy tracking method for non-radially symmetric solutions of coupled nonlinear Schrödinger equations ⋮ Derivation of the tight-binding approximation for time-dependent nonlinear Schrödinger equations ⋮ Hamiltonian Hopf bifurcations and dynamics of NLS/GP standing-wave modes ⋮ Horseshoes for coupled discrete nonlinear Schrödinger equations

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