From probabilities to Hamilton's principle

被引:3
作者
Kapsa, V. [1 ]
Skala, L. [1 ,2 ]
机构
[1] Charles Univ Prague, Fac Math & Phys, CR-12116 Prague 2, Czech Republic
[2] Univ Waterloo, Dept Appl Math, Waterloo, ON N2L 3G1, Canada
关键词
QUANTUM-MECHANICS;
D O I
10.1088/1751-8113/42/31/315202
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
It is shown that Hamilton's principle of classical mechanics can be derived from the relativistic invariance of the generalized spacetime Fisher information corresponding to the statistical description of results of measurement of the coordinates and the motion in space by means of the probability density and probability density current.
引用
收藏
页数:6
相关论文
共 22 条
[1]  
[Anonymous], PHILOS T R SOC LOND
[2]  
[Anonymous], 1994, The Principles of Quantum Mechanics
[3]  
[Anonymous], 1991, ELEMENTS INFORM THEO
[4]  
Arnold V. I., 1980, Mathematical Methods of Classical Mechanics
[5]  
BOHM D, 1952, PHYS REV, V85, P166, DOI 10.1103/PhysRev.85.166
[6]   A SUGGESTED INTERPRETATION OF THE QUANTUM THEORY IN TERMS OF HIDDEN VARIABLES .2. [J].
BOHM, D .
PHYSICAL REVIEW, 1952, 85 (02) :180-193
[7]  
Davydov A. S., 1976, Quantum Mechanics
[8]   Theory of statistical estimation. [J].
Fisher, RA .
PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1925, 22 :700-725
[9]  
GOLDSTEIN H., 2002, Classical Mechanics
[10]  
Hamilton W. R., 1834, Philosophical Trans. of the Royal Soc., V1834, P247, DOI 10.1098/rstl.1834.0017