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Dimension reduction for dipolar Bose-Einstein condensates in the strong interaction regime - MaRDI portal

Dimension reduction for dipolar Bose-Einstein condensates in the strong interaction regime (Q502995)

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Dimension reduction for dipolar Bose-Einstein condensates in the strong interaction regime
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    Dimension reduction for dipolar Bose-Einstein condensates in the strong interaction regime (English)
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    11 January 2017
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    The papers addresses a mathematically rigorous procedure for the transition from the full three-dimensional Gross-Pitaevskii equation for bosonic condensates with long-range interaction to limit forms corresponding to the effectively one- and two-dimensional settings, under the action of strong transverse confinement. The equations with the reduced dimensions are derived with the help of averaging in the tightly-confined direction(s) and semiclassical approximation.
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    Gross-Pitaevskii equations
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    averaging
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    semiclassical approximation
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    long-range interactions
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