广义作用量极值原理  

Generalized Action Extremum Principly

作　　者：蔡绍洪[1] 戴陵江[1] 

机构地区：[1]贵州大学物理系,贵阳550025

出　　处：《贵州大学学报（自然科学版）》2000年第2期99-105,共7页Journal of Guizhou University:Natural Sciences

摘　　要：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。The basic 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.

关 键 词：极值原理 广义力 广义流 广义作用量 

分 类 号：O41[理学—理论物理]