臺灣博碩士論文加值系統

在此論文中, 將討論在重力場下狄拉克粒子的傳播, 並探討其迴轉重力比率及其它的效應。我們純粹利用座標變換的方法來研究無自旋粒子之 Lense-Thirring 效應,再找出狄拉克波函數在慣性及移動加速座標之間的轉換算子以求得自旋 \Large 1/2 粒子之迴轉重力比率。 之後,我們將解出在均勻重力場下狄拉克波函數以討論其偏極化方向的變化, 並將與其他巨觀物體同樣在重力場下的效應作一比較。

In this thesis, we will discuss the propagation of a Dirac particle in the gravitational field,
and exploring its gyrogravitational ratio and other effects. We use the coordinate transformations to
study a scalar particle's Lense-Thirring effect, then searching for the transformation operator from
an inertial frame to an moving accelerated frame in order to find the gyrogravitational ratio of a spin 1/2 particle.
Afterwards, we solve the Dirac wave function in a uniformly gravitational field for the sake of studying
its change of polarization and compare it with the effects of a macroscopic object in the same gravitational field.

1.Introduction
2.Moving Accelerated Frame and Lense-Thirring Effect
3.Propagation of Dirac Wave Functions in Accelerated Frames
4.Eikonal Approximation
5.Discussion

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