One-Dimensional <em> w</em>-Component Fermions and Bosons with Repulsive Delta Function Interaction

doi:10.1088/0256-307X/28/2/020503

Chin. Phys. Lett.

2011, Vol. 28

Issue (2): 020503 DOI: 10.1088/0256-307X/28/2/020503

GENERAL

One-Dimensional w-Component Fermions and Bosons with Repulsive Delta Function Interaction

C. N. YANG^1,2**, YOU Yi-Zhuang¹

¹Institute for Advanced Study, Tsinghua University, Beijing 100084
²Institute of Theoretical Physics, Chinese University of Hong Kong, Hong Kong

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C. N. YANG, YOU Yi-Zhuang 2011 Chin. Phys. Lett. 28 020503

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Abstract We prove in theorems 2 and 3 that for 1D Bosons with repulsive delta function interaction with any number of components and any Young tableau, the energy per particle as N→∞ is the same as for spinless Bosons.

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

Received: 30 September 2010 Published: 30 January 2011

PACS:	05.30.Fk	(Fermion systems and electron gas)
	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/28/2/020503 OR https://cpl.iphy.ac.cn/Y2011/V28/I2/020503

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[1] Lieb E H and Liniger W 1963 Phys. Rev. 130 1605
[2] Yang C N 1967 Phys. Rev. Lett. 19 1312. The first 15 sections of this paper dealt with Fermions. In the last section, section 16, a formula (26b') for Bosons was given without proof. That formula is incorrect.
[3] Sutherland B 1968 Phys. Rev. Lett. 20 98
[4] Lieb E and Mattis D 1962 Phys. Rev. 125 164

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