Integrability and topology of three-dimensional vector fields

NCUIR > Research Center > Center for Complex Systems > journal & Dissertation > Item 987654321/27728

Please use this identifier to cite or link to this item: http://ir.lib.ncu.edu.tw/handle/987654321/27728

Title:	Integrability and topology of three-dimensional vector fields
Authors:	Chiueh,TH
Contributors:	複雜系統研究中心
Date:	1997
Issue Date:	2010-06-29 19:13:51 (UTC+8)
Publisher:	中央大學
Abstract:	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 elf the semi-classical quantization.
Relation:	CHINESE JOURNAL OF PHYSICS
Appears in Collections:	[Center for Complex Systems] journal & Dissertation

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