Ground State of Fermions in a 1D Trap with δ Function Interaction

doi:10.1088/0256-307X/26/12/120504

Chin. Phys. Lett.

2009, Vol. 26

Issue (12): 120504 DOI: 10.1088/0256-307X/26/12/120504

GENERAL

Ground State of Fermions in a 1D Trap with δ Function Interaction

C. N. Yang

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

Cite this article:

C. N. Yang 2009 Chin. Phys. Lett. 26 120504

Download: PDF(315KB)
Export: BibTeX | EndNote | Reference Manager | ProCite | RefWorks

Abstract The ground state of fermions in a 1D trap with δ function interaction is studied mathematically with group theory ideas.

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)

TRENDMD:

URL:

https://cpl.iphy.ac.cn/10.1088/0256-307X/26/12/120504 OR https://cpl.iphy.ac.cn/Y2009/V26/I12/120504

Service
	E-mail this article
	E-mail Alert
	RSS
Articles by authors
	C. N. Yang

[1] Olshanii M 1998 Phys. Rev. Lett. 81 938 Deuretzbacher F et al 2008 Phys. Rev. Lett. 100160405 Bloch I et al 2008 Rev. Mod. Phys. 80 885
[2] Girardeau M D and Minguzzi A 2007 Phys. Rev. Lett. 99 230402
[3] Guan L et al 2009 Phys. Rev. Lett. 102 160402
[4] Girardeau M D 1960 J. Math. Phys. (N.Y.) 1 516
[5] Lieb E and Mattis D 1962 Phys. Rev. 125 164

Related articles from Frontiers Journals

[1]	WANG Qiang, YE Chong, FU Li-Bin. Quantum Cyclotron Orbits of a Neutral Atom Trapped in a Triple Well with a Synthetic Gauge Field[J]. Chin. Phys. Lett., 2012, 29(6): 120504
[2]	WEI Bo-Bo* . One-Dimensional w-Component Fermions and Bosons with Delta Function Interaction[J]. Chin. Phys. Lett., 2011, 28(9): 120504
[3]	HAO Ya-Jiang . Ground-State Density Profiles of One-Dimensional Bose Gases with Anisotropic Transversal Confinement[J]. Chin. Phys. Lett., 2011, 28(7): 120504
[4]	FAN Jing-Han, GU Qiang, GUO Wei . Thermodynamics of Charged Ideal Bose Gases in a Trap under a Magnetic Field**[J]. Chin. Phys. Lett., 2011, 28(6): 120504
[5]	C. N. YANG, , YOU Yi-Zhuang . One-Dimensional w-Component Fermions and Bosons with Repulsive Delta Function Interaction**[J]. Chin. Phys. Lett., 2011, 28(2): 120504
[6]	HAO Ya-Jiang . Ground State Density Distribution of Bose-Fermi Mixture in a One-Dimensional Harmonic Trap[J]. Chin. Phys. Lett., 2011, 28(1): 120504
[7]	MA Zhong-Qi, C. N. Yang,. Bosons or Fermions in 1D Power Potential Trap with Repulsive Delta Function Interaction[J]. Chin. Phys. Lett., 2010, 27(9): 120504
[8]	MA Zhong-Qi, C. N. Yang,. Spin 1/2 Fermions in 1D Harmonic Trap with Repulsive Delta Function Interparticle Interaction[J]. Chin. Phys. Lett., 2010, 27(8): 120504
[9]	YOU Yi-Zhuang. Ground State Energy of One-Dimensional δ-Function Interacting Bose and Fermi Gas[J]. Chin. Phys. Lett., 2010, 27(8): 120504
[10]	MA Zhong-Qi, C. N. Yang,. Spinless Bosons in a 1D Harmonic Trap with Repulsive Delta Function Interparticle Interaction II: Numerical Solutions[J]. Chin. Phys. Lett., 2010, 27(2): 120504
[11]	HUANG Bei-Bing, WAN Shao-Long. Polaron in Bose-Einstein-Condensation System[J]. Chin. Phys. Lett., 2009, 26(8): 120504
[12]	YANG Lu, WANG Xiao-Rui, LI Ke, TAN Xin-Zhou, XIONG Hong-Wei, LU Bao-Long. Low-Energy Collective Excitation of Bose-Einstein Condensates in an Anisotropic Magnetic Trap[J]. Chin. Phys. Lett., 2009, 26(7): 120504
[13]	TANG Li. Generation of the W State through the Cavity-Electron Interaction[J]. Chin. Phys. Lett., 2009, 26(2): 120504
[14]	MA Zhong-Qi, C. N. Yang,. Spinless Bosons in a 1D Harmonic Trap with Repulsive Delta Function Interparticle Interaction I: General Theory[J]. Chin. Phys. Lett., 2009, 26(12): 120504
[15]	MA Zhong-Qi, C. N. Yang,. Ground State Energy for Fermions in a 1D Harmonic Trap with Delta Function Interaction[J]. Chin. Phys. Lett., 2009, 26(12): 120504

Viewed

Full text

Abstract