FROM THE MAIN EQUATION TO THE KLEIN-GORDON EQUATION

被引：7

作者：

BLAQUIERE, A

机构：

[1] Laboratoire d'Automatique Théorique, University of Paris VII, Paris

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 1979年 / 27卷 / 01期

关键词：

control; Optimization; relativity; stochastic processes; wave mechanics;

D O I：

10.1007/BF00933326

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

The purpose of this paper is to bring out some connections between the work of Isaacs and physics. The first five sections are devoted to classical dynamics. The theories of Hamilton and Jacobi are revisited via the geometrical approach to optimal control and de Broglie's ideas. The other sections contain a stochastic-type generalization, leading to the Klein-Gordon equation of relativistic wave mechanics. © 1979 Plenum Publishing Corporation.

引用

页码：71 / 87

页数：17