Mathematical calculation for exact solutions of infinitely strongly interacting Fermi gases in tight waveguides

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	Mathematical calculation for exact solutions of infinitely strongly interacting Fermi gases in tight waveguides
	Ma, ZQ ; Chen, S ; Guan, LM ; Wang, YP
刊名	JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
	2009
卷号	42 期号:38
关键词	TONKS-GIRARDEAU GAS IMPENETRABLE BOSONS ONE DIMENSION ATOMS
ISSN号	1751-8113
通讯作者	Ma, ZQ: Chinese Acad Sci, Inst High Energy Phys, Beijing 100049, Peoples R China.
中文摘要	Exact analytical solutions of the fundamental systems of N quasi-one-dimensional spin-1/2 fermions with infinite delta repulsion in an arbitrary confining potential were presented in our previous letter ( Guan et al 2009 Phys. Rev. Lett. 102 160402). The solutions are the simultaneous eigenstates of the Hamiltonian H and the total spin operators S(2) and S(z), which fulfil Girardeau's hard-core contacting boundary condition and are antisymmetric under odd permutations among fermions. They are approximate solutions when the coefficient in the delta repulsion is large but finite, and according to the Lieb-Mattis theorem, the solution with the lowest S is the ground state for the system. A detailed mathematical calculation for the exact solutions is presented. The property of the spin-dependent reduced one-body density is discussed.
收录类别	SCI
资助信息	NSF of China [10821403, 10574150, 10675050]; National Program for Basic Research of MOST, China
语种	英语
公开日期	2013-09-18
内容类型	期刊论文
源URL	[http://ir.iphy.ac.cn/handle/311004/41780]
专题	物理研究所_物理所公开发表论文_物理所公开发表论文_期刊论文
推荐引用方式 GB/T 7714	Ma, ZQ,Chen, S,Guan, LM,et al. Mathematical calculation for exact solutions of infinitely strongly interacting Fermi gases in tight waveguides[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL,2009,42(38).
APA	Ma, ZQ,Chen, S,Guan, LM,&Wang, YP.(2009).Mathematical calculation for exact solutions of infinitely strongly interacting Fermi gases in tight waveguides.JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL,42(38).
MLA	Ma, ZQ,et al."Mathematical calculation for exact solutions of infinitely strongly interacting Fermi gases in tight waveguides".JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL 42.38(2009).