Chin. Phys. Lett.  2012, Vol. 29 Issue (8): 080501    DOI: 10.1088/0256-307X/29/8/080501
GENERAL |
Ground State Energy of 1D Attractive δ-Function Interacting Fermi Gas
WANG Ya-Hui1**, MA Zhong-Qi2
1Department of Physics, Shaanxi University of Technology, Hanzhong 723000
2Institute of High Energy Physics, Chinese Academy of Sciences, Beijing 100049
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Abstract The ground state energy of one-dimensional two-component Fermi gas with the attractive δ-function interaction is fitted with a simple approximate function.
Received: 30 December 2011      Published: 31 July 2012
PACS:  05.30.Fk (Fermion systems and electron gas)  
  03.75.Ss (Degenerate Fermi gases)  
  03.75.Hh (Static properties of condensates; thermodynamical, statistical, and structural properties)  
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https://cpl.iphy.ac.cn/10.1088/0256-307X/29/8/080501       OR      https://cpl.iphy.ac.cn/Y2012/V29/I8/080501
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[1] Yang C N 1967 Phys. Rev. Lett. 19 1312
[2] Ma Z Q 2007 Group Theory for Physicists (Singapore:World Scientific)
[3] Zwierlein M W, Schirotzek A, Schunck C H and Ketterle W 2006 Science 311 492
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[4] Partridge G B, Li W H, Kamar R I, Liao Y A and Hulet R G 2006 Science 311 503
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[8] Yang C N 1970 Lectures Given at Karpacz Winter School Physics see Selected Papers 1945–1980 with Commentary (W. H. Freeman and Company, 1983) p 430
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Recently, the ''Gaudin–Yang model'' was widely used in literature. However, it was wrong because Gaudin did not have the key Yang–Baxter equation, and he took the wrong limit V approaching zero, instead of V approaching infinity, a key step.
[11] You Y Z 2010 Chin. Phys. Lett. 27 080305
[12] Gu C H and Yang C N 1989 Commun. Math. Phys. 122 105
[13] Guan X W and Ma Z Q 2012 Phys. Rev. A 85 033632
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