INEQUALITIES AND VARIATIONAL METHODS IN CLASSICAL MECHANICS

被引:45
作者
LUKES, T
JONES, R
机构
[1] Department of Applied Mathematics and Mathematical Physics, University College of South Wales and Monmouth
来源
JOURNAL OF PHYSICS PART A GENERAL | 1968年 / 1卷 / 01期
关键词
D O I
10.1088/0305-4470/1/1/304
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
It is shown that a functional inequality may be used to establish variational principles for partition functions and distribution functions. The inequalities relate distribution functions of higher order to those of lower order. They can be used to suggest approximate integral equations for distribution functions, to test and modify approximate distribution functions, and to establish variational principles on which can be based the systematic computation of distribution functions by variation of parameters.
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页码:29 / &
相关论文
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