2009, Vol. 26(12): 120506-120506    DOI: 10.1088/0256-307X/26/12/120506
Spinless Bosons in a 1D Harmonic Trap with Repulsive Delta Function Interparticle Interaction I: General Theory
MA Zhong-Qi1, C. N. Yang2,3
1Institute of High Energy Physics, Chinese Academy of Sciences, Beijing 1000492Institute for Advanced Study, Tsinghua University, Beijing 1000843Institute of Theoretical Physics, The Chinese University of Hong Kong, Hong Kong
收稿日期 2009-10-19  修回日期 1900-01-01
Supporting info

[1] Olshanii M 1998 Phys. Rev. Lett. 81 938

G\"{orlitz A et al 2001 Phys. Rev. Lett. 87
130402

Moritz H et al 2003 Phys. Rev. Lett. 91 250402

St\"{oferle T et al 2004 Phys. Rev. Lett. 92
130403 and reference therein

[2] Bloch I et al 2008 Rev. Mod. Phys. 80 885

[3] Guan L et al 2009 Phys. Rev. Lett. 102 160402

Yang C N 2009 Chin. Phys. Lett. 26 120504. We
will follow the notation $\{N-M,M\$ in this paper for the symmetry
of space wave functions.

[4] Lieb E H and Liniger W 1963 Phys. Rev. 130
1605

[5] You Y Z 2009 Chin. Phys. Lett. (submitted) Notice
You's $f$ and $\alpha$ are related to $\zeta$ and $\beta$ of the
present paper by $f=2\zeta /\beta^2$ and $\alpha =1/\beta$, where
the factor 2 comes from a comparison of You's Hamiltonian with ours.