Validity of the shape-independent approximation for Bose-Einstein condensates
Validity of the shape-independent approximation for Bose-Einstein condensates
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DOI：
10.1103/physreva.60.1451
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发表时间：
1999-08
影响因子：
2.9
通讯作者：
B. Esry;C. Greene
中科院分区：
文献类型：
--
作者：
B. Esry;C. Greene
研究了形状无关近似对三个囚禁原子的有效性。通过将Hartree-Fock近似中使用赝势计算的总基态能量与精确的基态能量进行比较，表明形状无关近似仅在低密度极限下定量地一致。它也表明，使用组态相互作用的狄拉克{δ}函数是不适合作为替代的两体相互作用在精确的理论。{版权} {美国物理学会}
The validity of the shape-independent approximation is studied for three trapped atoms. By comparing the total ground-state energy calculated using pseudopotentials in the Hartree-Fock approximation to the exact ground-state energy, the shape-independent approximation is shown to agree quantitatively only in the low-density limit. It is also shown using configuration interaction that a Dirac {delta} function is not suitable as a replacement for the two-body interaction in exact theories. {copyright} {ital 1999} {ital The American Physical Society}