An Adiabatic Theorem for the Gross-Pitaevskii Equation
classification
🧮 math.AP
math-phmath.MPnlin.PS
keywords
adiabaticequationgross-pitaevskiitheoremadmitsassumeboundcase
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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.
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