Bosons or Fermions in 1D Power Potential Trap with Repulsive Delta Function Interaction
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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. -
References
[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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