### 博碩士論文 100222017 完整後設資料紀錄

 DC 欄位 值 語言 DC.contributor 物理學系 zh_TW DC.creator 蔡秉諺 zh_TW DC.creator Ping-yen Tsai en_US dc.date.accessioned 2014-7-18T07:39:07Z dc.date.available 2014-7-18T07:39:07Z dc.date.issued 2014 dc.identifier.uri http://ir.lib.ncu.edu.tw:88/thesis/view_etd.asp?URN=100222017 dc.contributor.department 物理學系 zh_TW DC.description 國立中央大學 zh_TW DC.description National Central University en_US dc.description.abstract 本論文以狄拉克方程式（Dirac equation）計算在帶電的近極端萊斯納-諾思通黑洞（Reissner-Nordström Black Holes）幾何背景時空下，事件視界（event horizon）附近的自旋場（spin field）自發性的粒子成對產生。由於量子擾動，空間中會隨機產生虛粒子對並快速湮滅，但有機會在湮滅前被視界抓住其中一個而使另一個散射出去，形成霍金輻射（Hawking radiation）。此效應等價於在加速的空間中，原本的量子真空態會觀察到額外的粒子，經由守恆流可計算粒子透射與反射通量的比率，藉此可得到射出粒子的產生率。 當黑洞所帶質量與電荷相等，稱為極端萊斯納-諾思通黑洞，而在近極端萊斯納-諾思通黑洞的近視界時空幾何，可看成二維的反德西特空間（AdS）鑲嵌球殼（sphere）。狄拉克方程式在這種彎曲空間中雖然需要加上額外的項，但是可以藉由將自旋場乘上特定函數讓方程式變回無額外項的微分方程。然後，藉由特定假設，將四元聯立偏微分方程轉為二元聯立微分方程，進而計算出解與其趨近無限與接近視界的守恆流。將趨近無限的向內走的流量設為零，而計算其他流量的比值即為本篇論文的目標。 zh_TW dc.description.abstract This thesis uses the Dirac equation to calculate the spontaneous spin particle pair creation near event horizon of the near-extremal Reissner-Nordström black holes. In vacuum, virtual particles are randomly generated, due to the quantum perturbations, and quickly annihilated. There are possibilities that one of a particle pair can be caught into horizon before annihilation and the other is scattered out to infinity producing Hawking radiation. This effect is equivalent to the extra particle which is observed from a quantum vacuum by an accelerated observer. The ratio of the incoming/outgoing particle fluxes can be obtained by computing the transmitted and reflected conserved currents, then one can obtain the production rate of emitted particles. A black hole which carries equal mass and charge is known as an extremal Reissner-Nordström black hole. The spacetime geometry of the near-horizon near-extremal Reissner-Nordström black hole is a two-dimensional anti-de Sitter(AdS) space cross a sphere. Dirac equation in this curved spacetime needs to add connection terms which can be removed by multiplying a certain function on the spin field. Then, by imposing a particular assumption, the four variables coupled partial differential equations can be simplified to two variables coupled differential equations. The exact solution can be obtained and the conserved currents at asymptotic and near horizon can be computed. By imposing no in-going current at asymptotic infinity, computing ratios of the other currents is the main goal of this thesis. en_US DC.subject RN黑洞 zh_TW DC.subject 帶電荷黑洞 zh_TW DC.subject 霍金輻射 zh_TW DC.subject 自旋場 zh_TW DC.subject 狄拉克方程 zh_TW DC.subject RN black hole en_US DC.subject charged black hole en_US DC.subject Hawking radiation en_US DC.subject spin field en_US DC.subject Dirac equation en_US DC.title 自旋粒子在萊斯納-諾思通黑洞的生成 zh_TW dc.language.iso zh-TW zh-TW DC.title Spin Particle Creation in Reissner-Nordström Black Holes en_US DC.type 博碩士論文 zh_TW DC.type thesis en_US DC.publisher National Central University en_US