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Convergence rate of dimension reduction in Bose-Einstein condensates

Abstract:

In this paper, we study dimension reduction of the three-dimensional (3D) Gross-Pitaevskii equation (GPE) modeling Bose-Einstein condensation under different limiting interaction and trapping frequency parameter regimes. Convergence rates for the dimension reduction of 3D ground state and dynamics of the GPE in the case of disk-shaped condensation and cigar-shaped condensation are reported based on our asymptotic and numerical results. In addition, the parameter regimes in which the 3D GPE ca...

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Publication status:
Published

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Publisher copy:
10.1016/j.cpc.2007.06.015
Journal:
COMPUTER PHYSICS COMMUNICATIONS
Volume:
177
Issue:
11
Pages:
832-850
Publication date:
2007-12-01
DOI:
ISSN:
0010-4655
Language:
English
Keywords:
Pubs id:
pubs:1781
UUID:
uuid:38957c30-f835-454f-ae32-85e1b5eacda8
Local pid:
pubs:1781
Source identifiers:
1781
Deposit date:
2012-12-19

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