landaulevelstabilityofelectronsinsuperstrongmagneticfieldsanditsinfluencesonelectronfermienergy
文献类型：期刊论文
| 作者 | Song DL(宋冬灵)2; Ming L(明亮)1; Dan H(单昊)1; Liao TH(廖天河)2 |
| 刊名 | actaphysicasinica
 |
| 出版日期 | 2016 |
| 卷号 | 65期号:2 |
| ISSN号 | 1000-3290 |
| 英文摘要 | Magnetars are highly-magnetized neutron stars powered by magnetic field energy. Their internal magnetic fields are far higher than the quantum critical magnetic field of electrons. The issue concerning the Landau-level stability of charged particles in a high magnetic field is indeed too complicated, and there has been not any relevant works or explicit analytical expression in the physics community. In this work, we introduce a new quantity, g(n), the Landau-level stability coefficient of electrons in a superstrong magnetic field for illustration of our idea. Considering the uncertainty of the microscopic states of electrons in a superstrong magnetic field, we assume that g(n) takes the form of power exponent, g(n) = g(0)n(alpha); (n >= 1) where n, g(0) and alpha are the Landau level number, the ground-state level stability coefficient, and the stability index of Landau levels of electrons, respectively. It is obvious that gn is the function of n and alpha. When n = 1, g(1) = g(0) i.e., the ground state level has the same stability as that of the first excited level. According to quantum mechanics, the electrons at a higher energy level are prone to have excited transitions towards a lower energy level. The bigger the Landau level number, the shorter the level-occupying time for electrons, and the lower the Landau-level stability, the higher the probability of the excited transition. Since the ground state level has the highest stability and g(n) decreases with the increase in n, the stability index alpha should be negative. The main reasons are as follows: if alpha = 0, then g(n) = g(0)n(alpha) = (n >= 1) = g(0), i.e., all the Landau levels have the same stability, and the maximum of the Landau level number n(max) can take any high value, this scenario is essentially corresponding to a weak magnetic field approximation, which goes against the topic of this paper; if alpha > 0, then a higher Landau-level number possesses a higher stability, and nmax can also take any high value, which is clearly contrary to the principle of quantum mechanics. Based on the analysis above, we conclude that for degenerate and relativistic electrons in a superstrong magnetic field, the Landau-level stability index alpha = 1. The bigger the Landau level number n, the faster the change of g(n) with the variation of alpha, and the greater the influence of the stability index alpha on gn, and the larger the probability of a particle's transition (this transition is referred to as the transition from the higher energy level into lower energy level) becomes. By introducing the Dirac-delta function, we deduce a general formula for Fermi energy of degenerate and relativistic electrons, modify a special solution to E-F (e), which is suitable for superstrong magnetic fields, and obtain the magnetic field index beta = 1/6 in the expression of the special solution to E-F (e). The applicable conditions for the special solution to E-F (e), as well as its general expression, are constrained as rho >= 10(7) g.cm(3) and B-cr << B << 10(17) G. |
| 资助项目 | [National Natural Science Foundation of China] ; [Xinjiang Natural Science Foundation, China] ; [Foundation and Cutting-edge Technology Research Program of Henan Province, China] |
| 语种 | 英语 |
| 源URL | [http://ir.bao.ac.cn/handle/114a11/38524]  |
| 专题 | 中国科学院国家天文台 |
| 作者单位 | 1.中国科学院国家天文台 2.解放军信息工程大学 |
| 推荐引用方式 GB/T 7714 | Song DL,Ming L,Dan H,et al. landaulevelstabilityofelectronsinsuperstrongmagneticfieldsanditsinfluencesonelectronfermienergy[J]. actaphysicasinica,2016,65(2). |
| APA | 宋冬灵,明亮,单昊,&廖天河.(2016).landaulevelstabilityofelectronsinsuperstrongmagneticfieldsanditsinfluencesonelectronfermienergy.actaphysicasinica,65(2). |
| MLA | 宋冬灵,et al."landaulevelstabilityofelectronsinsuperstrongmagneticfieldsanditsinfluencesonelectronfermienergy".actaphysicasinica 65.2(2016). |
入库方式： OAI收割
来源：国家天文台
浏览0
下载0
收藏0
其他版本
除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。