| 均匀重力场中弱相互作用费米气体的稳定条件 |
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| 引用本文： | 刘慧,门福殿,吕琳. 均匀重力场中弱相互作用费米气体的稳定条件[J]. 山东师范大学学报(自然科学版), 2007, 22(1): 59-62 |
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| 作者姓名： | 刘慧 门福殿 吕琳 |
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| 作者单位： | 中国石油大学,华东,物理科学与技术学院,257061,山东东营;中国石油大学,华东,物理科学与技术学院,257061,山东东营;中国石油大学,华东,物理科学与技术学院,257061,山东东营 |
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| 基金项目： | 中国石油大学校科研和教改项目 |
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| 摘 要： | 在局域密度近似(LDA)的框架内得到重力场中弱相互作用费米气体的总能,在此基础上,研究了不同温度情况下的稳定性条件,并给出了稳定性条件的解析表达式,结果表明:理想的和存在排斥作用的系统总是稳定的,而对于弱吸引相互作用的费米气体,在较低温度下,临界散射长度与粒子数密度有直接的关系,但在较高温度下,临界散射长度与粒子数密度没有直接的关系.
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| 关 键 词： | 稳定性 费米气体 相互作用 均匀重力场 局域密度近似 |
| 修稿时间： | 2006-10-18 |
THE STABILITY CONDITIONS OF A WEAKLY INTERACTING FERMI GAS IN HOMOGENOUS GRAVITATIONAL FIELD |
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| Liu Hui,Men Fudian,Lü Lin. THE STABILITY CONDITIONS OF A WEAKLY INTERACTING FERMI GAS IN HOMOGENOUS GRAVITATIONAL FIELD[J]. Journal of Shandong Normal University(Natural Science), 2007, 22(1): 59-62 |
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| Authors: | Liu Hui Men Fudian Lü Lin |
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| Affiliation: | College of Physics Science and Technology, China University of Petroleum( East China |
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| Abstract: | The total energy of a weakly interacting Fermi gas in homogenous gravitational field is derived within local-density approximation(LDA)framework.Based on the derived expressions,the stability conditions of the system at different temperatures are studied,and the analytical expressions of stability conditions are given.It is shown that the ideal system and the system with repulsive interactions are always stable,but for the Fermi gas with attractive interactions,the critical scattering length has direct relation to the particle number density at relatively low temperatures,while it has no direct relation to the particle number density at relatively high temperatures. |
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| Keywords: | stability fermi gas interaction homogenous gravitational field local-density approximation |
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