Chin. Phys. Lett.  2017, Vol. 34 Issue (2): 020501    DOI: 10.1088/0256-307X/34/2/020501
GENERAL |
Spin-1/2 Fermion Gas in One-Dimensional Harmonic Trap with Attractive Delta Function Interaction
Ya-Hui Wang1**, Zhong-Qi Ma2
1School of Physics and Telecommunication Engineering, Shaanxi Sci-Tech University, Hanzhong 723000
2Institute of High Energy Physics, Chinese Academy of Sciences, Beijing 100049
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Ya-Hui Wang, Zhong-Qi Ma 2017 Chin. Phys. Lett. 34 020501
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Abstract In terms of the Thomas–Fermi method, we solve the ground state energy of the $N$-body 1D harmonically trapped spin-1/2 fermion gas with the attractive $\delta$-function interaction in the limit $N \to \infty$.
Received: 23 November 2016      Published: 25 January 2017
PACS:  05.30.Fk (Fermion systems and electron gas)  
  67.85.-d (Ultracold gases, trapped gases)  
  03.75.Hh (Static properties of condensates; thermodynamical, statistical, and structural properties)  
Fund: Supported by the National Natural Science Foundation of China under Grant No 11405101 and 11647018, and the Natural Science Foundation of Shaanxi Province under Grant No 2013JK0641.
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https://cpl.iphy.ac.cn/10.1088/0256-307X/34/2/020501       OR      https://cpl.iphy.ac.cn/Y2017/V34/I2/020501
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Articles by authors
Ya-Hui Wang
Zhong-Qi Ma
[1]Ma Z Q and Yang C N 2009 Chin. Phys. Lett. 26 120506
[2]Ma Z Q and Yang C N 2010 Chin. Phys. Lett. 27 020506
[3]Ma Z Q and Yang C N 2010 Chin. Phys. Lett. 27 080501
[4]Yang C N 1967 Phys. Rev. Lett. 19 1312
[5]Yang C N 1970 Lectures Given at the Karpacx Winter School of Physics p 430
[6]Takahashi M 1970 Prog. Theor. Phys. 44 899
[7]Wang Y H and Ma Z Q 2012 Chin. Phys. Lett. 29 080501
[8]Ma Z Q and Yang C N 2009 Chin. Phys. Lett. 26 120505
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