CAJ | 학술논문

本文主要研究了纽结能量的定义和相关性质，系统的介绍了纽结与能量的相关定义以及一些重要的性质．并从经典理论与逼近理论两方面着手，结合相关实例，分析纽结能量定义所表征数学问题及其物理背景．同时给出了新能量定义，计算了三叶结和8字结的能量．证明了新的能量与纽结的定向以及标号是无关的，而且能量是非负的．
본문주요연구료뉴결능량적정의화상관성질，계통적개소료뉴결여능량적상관정의이급일사중요적성질．병종경전이론여핍근이론량방면착수，결합상관실례，분석뉴결능량정의소표정수학문제급기물리배경．동시급출료신능량정의，계산료삼협결화8자결적능량．증명료신적능량여뉴결적정향이급표호시무관적，이차능량시비부적．
In this paper,we study the definitions of knot energy and their properties, we introduce the major definitions and properties related to the knot and energy. From the two aspects of the classical theory and approximation theory, we analyze the definitions of energy of knot and the physical backgrounds. A new definition is given on knot energy and the energy of the trefoil and figure knot is computed. Furthermore, we prove that the energy does not depend on orientation and label of knot and the energy is nonnegative.