Spinless Bosons in a 1D Harmonic Trap with Repulsive Delta Function Interparticle Interaction II: Numerical Solutions

doi:10.1088/0256-307X/27/2/020506

Chin. Phys. Lett.

2010, Vol. 27

Issue (2): 020506 DOI: 10.1088/0256-307X/27/2/020506

GENERAL

Spinless Bosons in a 1D Harmonic Trap with Repulsive Delta Function Interparticle Interaction II: Numerical Solutions

MA Zhong-Qi¹, C. N. Yang^2,3

¹Institute of High Energy Physics, Chinese Academy of Sciences, Beijing 100049²Center for Advanced Study, Tsinghua University, Beijing 100084³Institute of Theoretical Physics, The Chinese University of Hong Kong, Hong Kong

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MA Zhong-Qi, C. N. Yang 2010 Chin. Phys. Lett. 27 020506

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Abstract Following the general theory developed in paper I [Chin. Phys. Lett. 26 (2009) 120506] we present here the numerical results for an N spinless boson system in a 1D harmonic trap with repulsive delta function interparticle interaction as N→∞, with √N/g= fixed.

Keywords: 05.30.Jp 67.85.-d 03.75.Hh

Received: 13 November 2009 Published: 08 February 2010

PACS:	05.30.Jp	(Boson systems)
	67.85.-d	(Ultracold gases, trapped gases)
	03.75.Hh	(Static properties of condensates; thermodynamical, statistical, and structural properties)

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https://cpl.iphy.ac.cn/10.1088/0256-307X/27/2/020506 OR https://cpl.iphy.ac.cn/Y2010/V27/I2/020506

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[1] Lieb E H and Liniger W 1963 Phys. Rev. 130 1605
[2] You Y Z 2009 Chin. Phys. Lett. (submitted)
[3] Ma Z Q and Yang C N 2009 Chin. Phys. Lett. 26 120506
[4] Ma Z Q and Yang C N 2009 Chin. Phys. Lett. 26 120505
[5] Girardeau M D 1960 J. Math. Phys. (N. Y.) 1 516
[6] Yang C N and Yang C P 1969 J. Math. Phys. 10 1115

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