MEAN-FIELD LIMIT OF BOSE-EINSTEIN CONDENSATES WITH ATTRACTIVE INTERACTIONS IN R-2
文献类型：期刊论文
| 作者 | Guo, Yujin1; Lu, Lu2 |
| 刊名 | ACTA MATHEMATICA SCIENTIA
 |
| 出版日期 | 2016-03-01 |
| 卷号 | 36期号:2页码:317-324 |
| 关键词 | Bose-Einstein condensation attractive interactions Gross-Pitaevskii functional mean-field approximation |
| 英文摘要 | Starting with the many-body Schrodinger Hamiltonian in R-2, we prove that the ground state energy of a two-dimensional interacting Bose gas with the pairwise attractive interaction approaches to the minimum of the Gross-Pitaevskii energy functional in the mean field regime, as the particle number N ->infinity and however the scattering length k -> 0. By fixing N vertical bar k vertical bar, this leads to the mean-field approximation of Bose-Einstein condensates with attractive interactions in R-2. |
| WOS标题词 | Science & Technology ; Physical Sciences |
| 类目[WOS] | Mathematics |
| 研究领域[WOS] | Mathematics |
| 关键词[WOS] | GROSS-PITAEVSKII EQUATION ; RIGOROUS DERIVATION ; POSITIVE SOLUTIONS ; GASES ; STABILITY ; COLLAPSE ; ATOMS |
| 收录类别 | SCI |
| 语种 | 英语 |
| WOS记录号 | WOS:000372678200001 |
| 公开日期 | 2016-05-03 |
| 源URL | [http://ir.wipm.ac.cn/handle/112942/9230]  |
| 专题 | 武汉物理与数学研究所_数学物理与应用研究部 |
| 作者单位 | 1.Chinese Acad Sci, Wuhan Inst Phys & Math, Wuhan 430071, Peoples R China 2.Zhongnan Univ Econ & Law, Sch Math & Stat, Wuhan 430073, Peoples R China |
| 推荐引用方式 GB/T 7714 | Guo, Yujin,Lu, Lu. MEAN-FIELD LIMIT OF BOSE-EINSTEIN CONDENSATES WITH ATTRACTIVE INTERACTIONS IN R-2[J]. ACTA MATHEMATICA SCIENTIA,2016,36(2):317-324. |
| APA | Guo, Yujin,&Lu, Lu.(2016).MEAN-FIELD LIMIT OF BOSE-EINSTEIN CONDENSATES WITH ATTRACTIVE INTERACTIONS IN R-2.ACTA MATHEMATICA SCIENTIA,36(2),317-324. |
| MLA | Guo, Yujin,et al."MEAN-FIELD LIMIT OF BOSE-EINSTEIN CONDENSATES WITH ATTRACTIVE INTERACTIONS IN R-2".ACTA MATHEMATICA SCIENTIA 36.2(2016):317-324. |
入库方式： OAI收割
来源：武汉物理与数学研究所
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