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Analytical Solutions for the Two-Dimensional Gross—Pitaevskii Equation with a Harmonic Trap

✍ Scribed by Shi, Yu-Ren; Wang, Xue-Ling; Wang, Guang-Hui; Liu, Cong-Bo; Yang, Hong-Juan


Book ID
121302396
Publisher
IOP Publishing
Year
2013
Tongue
English
Weight
709 KB
Volume
59
Category
Article
ISSN
0253-6102

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✍ Sadhan K. Adhikari 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 122 KB

We present a numerical scheme for solving the time-independent nonlinear Gross-Pitaevskii equation in two dimensions describing the Bose-Einstein condensate of trapped interacting neutral atoms at zero temperature. The trap potential is taken to be of the harmonic-oscillator type and the interaction