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Effective Action and Field Equation for BEC from Weak to Strong Couplings

While free and weakly interacting nonrelativistic particles are described by a Gross-Pitaevskii equation, which is a nonlinear self-interacting Schrödinger equation, the phenomena in the strong- coupling limit are governed by an effective action that is extremized by a double-fractional generalization of this equation. Its particle orbits perform Lèvy walks rather than Gaussian random walks.

preprint2013arXivOpen access
H. Kleinert
cond-mat.quant-gas
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H. Kleinert

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