弯曲时空中的量子散射效应

发布时间：2018-03-03 08:49

  本文选题：黑洞　切入点：散射　出处：《湖南师范大学》2015年博士论文　论文类型：学位论文

【摘要】：黑洞散射在黑洞物理和散射理论中非常让人感兴趣的研究课题。目前在理论界非常有效的研究黑洞特性方式就是研究黑洞对物质的散射。在本毕业论文的第二章中,我们研究了含有整体单极子一般静态球对称黑洞中无质量标量场的吸收问题。我们主要运用散射理论的分波的方法,计算出了含有整体单极子一般静态球对称黑洞中无质量标量场的吸收截面,并分析了各分波的特点和对总吸收截面的贡献。在第三章中,我们通过数值方法求解出吸收截面并发现角量子数l越大,对应的分波截面最大值越小。同Schwarzschild黑洞相比,Bardeen黑洞的吸收截面不论是在低频还是高频都加强了。在高频位置,吸收截面围绕着几何光学值振荡。一般而言,散射流在入射方向都是加强的,并且散射宽度会变窄。在不同的Bardeen黑洞中散射的特性有较大的区别。在第四章中,我们研究了Bardeen黑洞对Dirac场的散射。通过数值求解吸收截面,我们发现角量子数l越大,对应的分波吸收截面最大值越小。当电磁单极子荷β增加,吸收截面和Hawking辐射功率谱增加,单吸收率和光度值降低。在第五章中,我们分析了类Schr¨odinger标量波方程并用WKB近似方法计算了与背景几何时空任意耦合的场透射系数。我们通过数值方法计算了吸收截面并对高频部分进行了分析。我们发现吸收截面围绕着几何极限值振荡并且这些振荡的值在高频部分也是一致的。在第六章中,我们考虑修正到Planck长度各阶的量子态密度,并计算了标量场在Bardeen黑洞中的统计力学熵。我们得到黑洞视界面内熵的分布情况,在视界面附近的区域对熵的贡献最大。
[Abstract]:Black hole scattering is a very interesting research topic in black hole physics and scattering theory. In this paper, we study the absorption of massless scalar fields in a general static spherically symmetric black hole with a global monopole. The absorption cross sections of the massless scalar field in a general static spherically symmetric black hole with monopole are calculated, and the characteristics of each component wave and its contribution to the total absorption cross section are analyzed. By numerical method, we find that the larger the angular quantum number l, the smaller the maximum partial cross section. Compared with the Schwarzschild black hole, the absorption cross section of the Schwarzschild black hole is enhanced both at low frequency and high frequency. The absorption cross section oscillates around the geometric optical value. Generally speaking, the scattering flow is strengthened in the incident direction and the scattering width will narrow. The scattering characteristics in different Bardeen black holes are different. In Chapter 4th, We study the scattering of Dirac field from Bardeen black hole. By numerically solving the absorption cross section, we find that the larger the angular quantum number l, the smaller the maximum absorption cross section of the corresponding partial wave. The absorption cross section and Hawking radiation power spectrum increase, and the single absorptivity and luminosity decrease. In Chapter 5th, In this paper, we analyze the scalar wave equation similar to Schr odinger and calculate the field transmission coefficient coupled arbitrarily with the background geometry by using the WKB approximation method. We calculate the absorption cross section by numerical method and analyze the high frequency part. The absorption cross section oscillates around the geometric limit values and the values of these oscillations are consistent in the high frequency section. In Chapter 6th, We consider modifying the quantum density of states of the Planck length and calculate the statistical mechanical entropy of the scalar field in the Bardeen black hole. We obtain the distribution of the entropy in the black hole's apparent interface, and the most important contribution to the entropy is in the region near the apparent interface.
【学位授予单位】：湖南师范大学
【学位级别】：博士
【学位授予年份】：2015
【分类号】：P145.8

【相似文献】

中国期刊全文数据库 前2条

1 吴畅书;古培俊;裴文兵;冯庭桂;;激光靶耦合中的部分角量子数平均原子模型[J];计算物理;2006年03期

2 ;[J];;年期

中国博士学位论文全文数据库 前2条

1 黄海;弯曲时空中的量子散射效应[D];湖南师范大学;2015年

2 潘启沅;黑洞时空中微扰的演化与相对论框架下的量子信息[D];湖南师范大学;2008年

，

本文编号：1560339