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주영흠 건국대학교 1970 學術誌 Vol.11 No.1
The structure of the Finsler space with metric and connection is considered by using the method developed in the fields of differential geometry and topology. It is clear that the Finsler metric is a real valued function, which satisfies three conditions, defined on a tangent bundle, as an n-dimensional real vector bundle, of a differentiable manifold. And it is a sufficient and necessary condition that the differentiable manifold is paracompact in order that it huts the Finsler metric. The Finsler metric is a generalization of the Riemannian metric. All the equilong transformation of the Finsler space show an n(n+1)/2 dimensional (at most) Lie transformation group by the compact-open topology. It is convenient that elements of an associated fibre bundle of a principle fibre bundle induced on the tangent bundle are called as tensors in the Finsler space. This means that a covariant tensor field of second order is given by the fundamental tensor gij. Therefore, the connection problem is considered on the principle fibre bundle.
量子力學의 Operator의 攝動理論에 對한 硏究 : 數理物理學의 立場에서
朱瑛欽 建國大學校附設 應用科學硏究所 1975 理學論集 Vol.1 No.-
This research deals with the general perturbation theory of linear operators which are applied to Quantum Mechanics in a view-point of Mathematical physics. The principal theoretical instrument in the formation and development of the Quantum Mechanics is the theory of linear operators. The general theory of linear operators is presented, and the perturbation theories of closed operator, eigenvalue, eigenvector and continuous spectrum on Banach and Hilbert spaces are discussed using the method of functional analysis.