1D  Bosons or Fermions in a power trap with repulsive delta function  interaction

报告人：马中骐教授 中科院高能物理研究所

时间：2010年10月27日 上午 10：20

地点：物理馆323 

Abstract

I will report on the recent works cooperated with Professor Chen Ning  Yang. The works are on the coldatom physics.

An N Boson or Fermion system in a 1D power trap  |x|a/2 (including the harmonic trap when a = 2) with  repulsive delta function interparticle interaction  is  studied. In terms of the Thomas-Fermi method and the results for the trapless  system obtained by Lieb and Liniger for Bosons in 1963 and Yang for Fermions in  1967, we calculated numerically the limit of the ground state energy  E/N(3a+2)/(a+2) and the limit of the density  at fixed x/N2/(a+2),  as  with fixed  Na/(a+2)/g for the Boson system, or with fixed  Na/(a+2)/g and fixed per particle spin J/N for the  Fermion system.

Reference

Ma Zhong-Qi and C. N. Yang

a) Ground state energy for Fermions in a 1D harmonic trap with delta  function interaction, Chin. Phys. Lett. 26 (2009) 120505.

b) Spinless Bosons in a 1D harmonic trap with repulsive delta  function interparticle interaction I: General theory,  Chin. Phys. Lett. 26 (2009) 120506.

c) Spinless Bosons in a 1D harmonic trap with repulsive delta  function interparticle interaction II: - Numerical Solutions, Chin. Phys. Lett.  27 (2010)  020506.

d) Spin 1/2 Fermions in 1D Harmonic Trap with Repulsive Delta  Function Interparticle Interaction, Chin. Phys. Lett. 27 (2010) 080501.

e) Bosons or Fermions in 1D Power Potential Trap with Repulsive Delta  Function Interaction, Chin. Phys. Lett. 27 (2010) 090505.