博碩士論文 111222603 完整後設資料紀錄

DC 欄位	值	語言
DC.contributor	物理學系	zh_TW
DC.creator	梅吉莎	zh_TW
DC.creator	Kiersten Meigs	en_US
dc.date.accessioned	2025-1-20T07:39:07Z
dc.date.available	2025-1-20T07:39:07Z
dc.date.issued	2025
dc.identifier.uri	http://ir.lib.ncu.edu.tw:444/thesis/view_etd.asp?URN=111222603
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	我們透過分析電磁波的格林函數來研究電磁波在球形時空中的傳播。我們採用純量向量分 解來求解 2 球面上的麥克斯韋方程組，並僅根據純量格林函數表達其解。然後，我們概述了 一種使用 integral-differential operator 從熱核計算相關格林函數的方法，該算子將不同維度 的相應熱核關聯起來，以便所有這些都可以從 1維球體解生成。我們將此方法應用於 2 維 和 3 維球體，並獲得有質量和無質量格林函數的結果。我們注意到，當質量下降到由空間維 度D 確定的某個值以下時，我們的結果顯示出非因果傳播。突出的因果關係問題。	zh_TW
dc.description.abstract	We here study the propagation of electromagnetic waves in spherical spacetimes by analyz- ing their Green’s functions. We employ a scalar-vector decomposition to solve Maxwell’s equations on the 2-sphere and write their solutions solely in terms of scalar Green’s func- tions. We then outline a method for calculating the relevant Green’s functions from their heat kernels using an integral-differential operator which relates the corresponding heat kernels in different dimensions, so that all of them may be generated from the 1-sphere solution. We apply this method to the 2 and 3 dimensional spheres and obtain results for both the the massive and massless Green’s functions. We note that our results display acausal propagation when the mass drops below a certain value determined by the spatial dimension D. In the future, we hope to extend our results to general dimensional spherical spacetimes and address any outstanding causality issues that remain.	en_US
DC.subject	電磁波	zh_TW
DC.subject	球體	zh_TW
DC.subject	格林函數	zh_TW
DC.subject	Electromagnetic Waves	en_US
DC.subject	Spheres	en_US
DC.subject	Green′s Functions	en_US
DC.title	Electromagnetic Waves on Spheres	en_US
dc.language.iso	en_US	en_US
DC.type	博碩士論文	zh_TW
DC.type	thesis	en_US
DC.publisher	National Central University	en_US