贵州大学学报(自然科学版)
貴州大學學報(自然科學版)
귀주대학학보(자연과학판)
JOURNAL OF GUIZHOU UNIVERSITY (NATURAL SCIENCE)
2000年
2期
99-105
,共7页
真实运动%极值原理%广义力%广义流%广义作用量
真實運動%極值原理%廣義力%廣義流%廣義作用量
진실운동%겁치원리%엄의력%엄의류%엄의작용량
real motion%extremum pxtremum principle%generalized force gendralized flow%genealized actions
许多物理系统的基本运动都遵循着某种极值原理.本文从任意物理体系出发,在广义位形空间中定义了系统的广义力、广义流和广义作用量,并由变分原理和泛函极值条件,引出了广义作用量极值原理.由此可分别导出各类物理系统所满足的各种极值原理.即各类最小值、最大值和极值原理可用广义作用量极值原理来统一描述.这在一定程度上揭示了各极值原理间的相互关系.
許多物理繫統的基本運動都遵循著某種極值原理.本文從任意物理體繫齣髮,在廣義位形空間中定義瞭繫統的廣義力、廣義流和廣義作用量,併由變分原理和汎函極值條件,引齣瞭廣義作用量極值原理.由此可分彆導齣各類物理繫統所滿足的各種極值原理.即各類最小值、最大值和極值原理可用廣義作用量極值原理來統一描述.這在一定程度上揭示瞭各極值原理間的相互關繫.
허다물리계통적기본운동도준순착모충겁치원리.본문종임의물리체계출발,재엄의위형공간중정의료계통적엄의력、엄의류화엄의작용량,병유변분원리화범함겁치조건,인출료엄의작용량겁치원리.유차가분별도출각류물리계통소만족적각충겁치원리.즉각류최소치、최대치화겁치원리가용엄의작용량겁치원리래통일묘술.저재일정정도상게시료각겁치원리간적상호관계.
The hasic motion in many physical systems all comply with some extremum principle. This paper, using arbitrary physical system, introduces and defines Generalized Forces,Generalized Flows and generalizes Actions, and derives Generdized Action Extremum Principle from variational principle and the extremum canditions of general function. Different extremum principle of varsous physcical systems can be derived from it. Various maximum, minimum and Extremum principle can be all described by this basic principle. It has revealed the relations of every extremum principle each other in certain extent.