Geometry of the Magnetic Monopole

It is shown that the vector potential of a magnetic monopole can be obtained from consideration of the Berry phase in a new perspective. The two-component complex wavefunction can be characterized by a single CP(superscript 1) projective coordinate w on the projected compactified complex plane. So the vector potential on the sphere is expressed solely in terms of w. The projective structure is more evident in this consideration. We also attempt to demonstrate that the wavefunctions can be coupled to yield a monopole with a doubling of the magnetic charge in a simple case. Generalization from a complex phase to a quaternionic phase is discussed.

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Paul, J. (2015). 藉由自適調整區塊大小管理機制以提升快取記憶體的命中率與效能 [master's thesis, National Chiao Tung University]. Airiti Library. https://doi.org/10.6842/NCTU.2015.00673

何沛恒（2014）。利用胺基酸酯設計合成喹唑啉衍生物 ; 利用銅催化於有氧環境進行環化-酮化反應合成咪唑併[1,2-a]苯併咪唑衍生物〔碩士論文，國立交通大學〕。華藝線上圖書館。https://doi.org/10.6842/NCTU.2014.00476

陳建文（2011）。利用光聚合引發相分離製作高分子穩定垂直配向液晶顯示元件之表面型態及光電特性之研究〔碩士論文，國立交通大學〕。華藝線上圖書館。https://doi.org/10.6842/NCTU.2011.00041

Hong, C. Y. (2015). 孔洞材料及其在催化和吸附的應用 [doctoral dissertation, National Taiwan University]. Airiti Library. https://doi.org/10.6342/NTU.2015.02343

Lin, L. Y. (2013). 應用於染料敏化太陽能電池及有機太陽能電池之小分子及高分子材料的設計與合成 [doctoral dissertation, National Taiwan University]. Airiti Library. https://doi.org/10.6342/NTU.2013.02088

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Geometry of the Magnetic Monopole

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