MEAN-FIELD LIMIT OF BOSE-EINSTEIN CONDENSATES WITH ATTRACTIVE INTERACTIONS IN R-2

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	MEAN-FIELD LIMIT OF BOSE-EINSTEIN CONDENSATES WITH ATTRACTIVE INTERACTIONS IN R-2
	Guo, Yujin 1; Lu, Lu 2
刊名	ACTA MATHEMATICA SCIENTIA
	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
内容类型	期刊论文
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.