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Bosons or Fermions in 1D Power Potential Trap with Repulsive Delta Function Interaction |
MA Zhong-Qi1, C. N. Yang2,3 |
| 1Institute of High Energy Physics, Chinese Academy of Sciences, Beijing 100049 2Center for Advanced Study, Tsinghua University, Beijing 100084 3Institute of Theoretical Physics, Chinese University of Hong Kong, Hong Kong |
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| Cite this article: |
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MA Zhong-Qi, C. N. Yang 2010 Chin. Phys. Lett. 27 090505 |
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Abstract We study the ground state of a 1D many Boson or Fermion system with repulsive delta function interparticle interaction trapped in an external potential V(x) = |x|a/2 where a>0.
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| Keywords:
05.30.Fk
05.30.Jp
67.85.-d
03.75.Hh
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Received: 21 June 2010
Published: 25 August 2010
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| PACS: |
05.30.Fk
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(Fermion systems and electron gas)
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05.30.Jp
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(Boson systems)
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67.85.-d
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(Ultracold gases, trapped gases)
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03.75.Hh
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(Static properties of condensates; thermodynamical, statistical, and structural properties)
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[1] Ma Z Q and Yang C N 2009 Chin. Phys. Lett. 26 120506
Ma Z Q and Yang C N 2010 Chin. Phys. Lett. 27 020506
Ma Z Q and Yang C N 2010 Chin. Phys. Lett. 27 080501 These three papers will be referred to as I, II, III, with the present paper as IV.
[2] You Y Z 2010 Chin. Phys. Lett. 27 080305
Notice You's f and α are related to ζ and β of the present paper by f=2ζ /β2 and α =1/β, where the factor 2 comes from a comparison of You's Hamiltonian with ours.
[3] Lieb E H and Liniger W 1963 Phys. Rev. 130 1605
[4] Yang C N 1967 Phys. Rev. Lett. 19 1312
[5] Girardeau M D 1960 J. Math. Phys. (N.Y.) 1 516
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