超强磁场下电子朗道能级稳定性及对电子费米能的影响
发布时间：2018-10-25 11:26
【摘要】：磁星是一类由磁场供能、强磁化的中子星,其内部磁场远高于电子的量子临界磁场.本文通过引入电子朗道能级的稳定性系数g_n,讨论了在磁星环境下电子的朗道能级的稳定性及其对电子费米能E_F(e)的影响;研究发现,磁场越强,电子的朗道能级越不稳定,最大的朗道能级级数n_(max)越小;朗道能级数n越大,能级稳定性系数g_n越小.根据朗道能级的稳定性系数g_n随磁场的增加而减小的要求,电子费米能表达式的磁场指数β必须是正数.通过引入Dirac-δ函数,推导出超强磁场下的简并的、相对论电子费米能的一般表达式,修正了E_F(e)的特解.新的特解给出磁场指数β=1/6;特解的适用范围ρ≥10~7g·cm~(-3),Bcr≤B≤10~(17)G.本文结果将有助于中子星内部弱相互作用过程(包括修正的URCA反应和电子俘获)和磁星磁热演化机理的研究.
[Abstract]:Magnetic star is a kind of neutron star which is energy supplied by magnetic field and highly magnetized. Its internal magnetic field is much higher than the quantum critical magnetic field of electron. In this paper, by introducing the stability coefficient of the electron Landau energy level, we discuss the stability of the electron Landau energy level and its influence on the electron Fermi energy E F (e) in the environment of a magnetic star. It is found that the stronger the magnetic field is, the more unstable the Landau energy level of the electron is. The largest Landau energy level series n _ (max) is smaller, and the larger the Landau energy series n is, the smaller the energy level stability coefficient is. According to the requirement that the stability coefficient g _ n of Landau energy level decreases with the increase of magnetic field, the magnetic field exponent 尾 of the expression of electron Fermi energy must be a positive number. By introducing Dirac- 未 function, the general expression of Fermi energy of relativistic electrons in super strong magnetic field is derived, and the special solution of EF (e) is modified. The new special solution gives the magnetic field index 尾 = 1 / 6, and the applicable range of the special solution is 蟻 鈮，
本文编号：2293570
[Abstract]:Magnetic star is a kind of neutron star which is energy supplied by magnetic field and highly magnetized. Its internal magnetic field is much higher than the quantum critical magnetic field of electron. In this paper, by introducing the stability coefficient of the electron Landau energy level, we discuss the stability of the electron Landau energy level and its influence on the electron Fermi energy E F (e) in the environment of a magnetic star. It is found that the stronger the magnetic field is, the more unstable the Landau energy level of the electron is. The largest Landau energy level series n _ (max) is smaller, and the larger the Landau energy series n is, the smaller the energy level stability coefficient is. According to the requirement that the stability coefficient g _ n of Landau energy level decreases with the increase of magnetic field, the magnetic field exponent 尾 of the expression of electron Fermi energy must be a positive number. By introducing Dirac- 未 function, the general expression of Fermi energy of relativistic electrons in super strong magnetic field is derived, and the special solution of EF (e) is modified. The new special solution gives the magnetic field index 尾 = 1 / 6, and the applicable range of the special solution is 蟻 鈮，
本文编号：2293570
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