Ground State Energy for Fermions in a 1D Harmonic Trap with Delta Function Interaction

doi:10.1088/0256-307X/26/12/120505

Chin. Phys. Lett.

2009, Vol. 26

Issue (12): 120505 DOI: 10.1088/0256-307X/26/12/120505

GENERAL

Ground State Energy for Fermions in a 1D Harmonic Trap with Delta Function Interaction

MA Zhong-Qi¹, C. N. Yang^2,3

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

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MA Zhong-Qi, C. N. Yang 2009 Chin. Phys. Lett. 26 120505

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Abstract Conjectures are made for the ground state energy of a large spin 1/2 Fermion system trapped in a 1D harmonic trap with delta function interaction. States with different spin J are separately studied. The Thomas-Fermi method is used as an effective test for the conjecture.

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

Received: 02 September 2009 Published: 27 November 2009

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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[4]Yang C N 2009 Chin. Phys. Lett. 26 120504. Wewill follow the notation of this paper.
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