A variational width ansatz yields 1D and 2D dipolar Gross-Pitaevskii equations that reproduce 3D ground-state densities more accurately than the fixed-width reductions.
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Improved low-dimensional wave equations for cigar-shaped and disk-shaped dipolar Bose-Einstein condensates
A variational width ansatz yields 1D and 2D dipolar Gross-Pitaevskii equations that reproduce 3D ground-state densities more accurately than the fixed-width reductions.