頁籤選單縮合
題 名 | Integrability and Topology of Three-Dimensional Vector Fields |
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作 者 | Chiueh,Tzihong; | 書刊名 | Chinese Journal of Physics |
卷 期 | 35:1 1997.02[民86.02] |
頁 次 | 頁4-12 |
分類號 | 330 |
關鍵詞 | |
語 文 | 英文(English) |
英文摘要 | Geometrical and topological properties of three-dimensional, divergence-free vector fields are investigated, with an emphasis on the integrability of the field-line trajectories. The sufficient condition for the integrability of three-dimensional and topologically nontrivial vector fields is derived. The derivation is based on a variational principle, which is analogous to the Hamilton's principle for the classical mechanics of particle dynamics. This formulation can potentially be extended to investigations on the quantum effects of particle dynamics in a complex magnetic field within the framework of the semi-classical quantization. |
本系統中英文摘要資訊取自各篇刊載內容。