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| DC 欄位 | 值 | 語言 |
|---|---|---|
| dc.contributor.advisor | 黃宇廷 | zh_TW |
| dc.contributor.advisor | Yu-tin Huang | en |
| dc.contributor.author | 賴允忠 | zh_TW |
| dc.contributor.author | Yun-Chung Lai | en |
| dc.date.accessioned | 2023-08-09T16:05:50Z | - |
| dc.date.available | 2023-11-09 | - |
| dc.date.copyright | 2023-08-09 | - |
| dc.date.issued | 2023 | - |
| dc.date.submitted | 2023-07-21 | - |
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| dc.identifier.uri | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/88226 | - |
| dc.description.abstract | 在這篇碩論中我們討論了電子與磁單極之間的交互作用並從古典的角度出發去計算衝量跟散射角度. 同時我們也透過解薛丁格方程在磁單極的位能下得到波函數, 進一步取它的漸近形式來獲取散射幅度. 以及我們也透過在殼旋轉方法得到電子與磁單極的傳播子, 其中也包含了狄拉克弦的部分，但我們透過計算可以發現在古典極限下狄拉克弦並不會出現在最後觀測量, 包括衝量, 散射角度以及散射幅度. | zh_TW |
| dc.description.abstract | In this thesis, we consider the interaction between an electron and a monopole. We calculate the impulse in the classical picture and the cross section in quantum mechanics. Additionally, we employ on-shell phase rotation to reproduce the same result and demonstrate that the observables are independent of the Dirac string in the eikonal limit. | en |
| dc.description.provenance | Submitted by admin ntu (admin@lib.ntu.edu.tw) on 2023-08-09T16:05:50Z No. of bitstreams: 0 | en |
| dc.description.provenance | Made available in DSpace on 2023-08-09T16:05:50Z (GMT). No. of bitstreams: 0 | en |
| dc.description.tableofcontents | Verification Letter from the Oral Examination Committee I
Acknowledgements III 摘要V Abstract VII Contents IX List of Figures XI Chapter 1 Introduction 1 Chapter 2 Classical Dynamics in monopole background 3 2.1 Monopole as a point source 3 2.2 Deflection angle and Impulse 6 2.3 Vector Potential of Monopole 9 Chapter 3 Quantum Daynamics in monopole background 13 3.1 Quantum Mechanics in Monopole Background 13 3.2 Schrödinger equation in the monopole background 14 3.3 Quantum Scattering in Electron-Monopole System 16 3.4 Electromagnetic Duality 20 Chapter 4 On-Shell approach to monopole scattering 23 4.1 The on-shell phase rotation 23 4.2 KMOC formalism 25 4.3 Impulse from tree amplitude 28 4.4 One-loop amplitude to impulse 30 4.5 From eikonal phase to all order amplitude 35 Chapter 5 Conclusion 41 Appendix A — Spinor Helicity Formalism 43 A.1 Spinor Helicity Formalism 43 A.1.1 Contraction and the Levi-Civita Tensor 43 A.1.2 Pauli matrices and Gamma matrices 43 A.1.3 Massive Momentum and Massless Momentum 45 A.1.4 Vector Inner Product in Spinor Representation 45 A.1.5 Determinant of Massive Spinor 46 A.1.6 Identities in Massive Amplitudes 47 A.1.6.1 Two Massless One Massive 47 A.1.6.2 Two Massive:Unequal Mass 47 A.1.6.3 Two Massive:Equal Mass 48 A.1.7 Explicit Kinematics 49 Appendix B — ratio of x1/x2 51 Appendix C — The Generalized Spherical Harmonics 53 References 55 | - |
| dc.language.iso | en | - |
| dc.subject | 磁單極 | zh_TW |
| dc.subject | 散射幅度 | zh_TW |
| dc.subject | 本徵近似 | zh_TW |
| dc.subject | eikonal approximation | en |
| dc.subject | monopole | en |
| dc.subject | scattering amplitude | en |
| dc.title | 在殼方法與磁單極 | zh_TW |
| dc.title | On-shell Method and Monopole | en |
| dc.type | Thesis | - |
| dc.date.schoolyear | 111-2 | - |
| dc.description.degree | 碩士 | - |
| dc.contributor.oralexamcommittee | 賀培銘;林豐利 | zh_TW |
| dc.contributor.oralexamcommittee | Pei-Ming Ho;Feng-Li Lin | en |
| dc.subject.keyword | 磁單極,散射幅度,本徵近似, | zh_TW |
| dc.subject.keyword | monopole,scattering amplitude,eikonal approximation, | en |
| dc.relation.page | 58 | - |
| dc.identifier.doi | 10.6342/NTU202301618 | - |
| dc.rights.note | 同意授權(全球公開) | - |
| dc.date.accepted | 2023-07-24 | - |
| dc.contributor.author-college | 理學院 | - |
| dc.contributor.author-dept | 物理學系 | - |
| 顯示於系所單位： | 物理學系 | |
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