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math-ph2015★ 1 cited
Fundamental gaps of the Gross-Pitaevskii equation with repulsive interaction
Weizhu Bao, Xinran Ruan
We study asymptotically and numerically the fundamental gaps (i.e. the difference between the first excited state and the ground state) in energy and chemical potential of the Gros…
cond-mat.quant-gas2015★ 6 cited
Mean-field regime and Thomas-Fermi approximations of trapped Bose-Einstein condensates with higher order interactions in one and two dimensions
Xinran Ruan, Yongyong Cai, Weizhu Bao
We derive rigorously one- and two-dimensional mean-field equations for cigar- and pancake-shaped Bose-Einstein condensates (BEC) with higher order interactions (HOI). We show how t…