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arxiv: 1611.04470 · v1 · pith:O3PFVML6new · submitted 2016-11-14 · 🧮 math.AP

On the weak separation limit of a two-component Bose-Einstein condensate

Christos Sourdis This is my paper
classification 🧮 math.AP
keywords behaviourbose-einsteincondensatetwo-componentweakamountsapplyasymptotic
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This paper deals with the study of the behaviour of the wave functions of a two-component Bose-Einstein condensate in the case of weak segregation. This amounts to the study of the asymptotic behaviour of a heteroclinic connection in a conservative Hamiltonian system of two coupled second order ODE's, as the strength of the coupling tends to its infimum. For this purpose, we apply geometric singular perturbation theory.

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