An Adiabatic Theorem for the Gross-Pitaevskii Equation

Abstract

We prove an adiabatic theorem for the non-autonomous Gross-Pitaevskii equation in the case of a weak trap. More precisely, we assume that the external potential decays suitably at infinity and admits exactly one bound state.

25 pages

References in corpus (2)

• Solitary wave dynamics in time-dependent potentials
• Dispersive estimates for Schroedinger operators: A survey