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
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
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.
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.
(Static properties of condensates; thermodynamical, statistical, and structural properties)
引用本文:
MA Zhong-Qi;C. N. Yang;. Bosons or Fermions in 1D Power Potential Trap with Repulsive Delta Function Interaction[J]. 中国物理快报, 2010, 27(9): 90505-090505.
MA Zhong-Qi, C. N. Yang,. Bosons or Fermions in 1D Power Potential Trap with Repulsive Delta Function Interaction. Chin. Phys. Lett., 2010, 27(9): 90505-090505.
[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
2010, Vol. 27 
