不规则星系中星体随机运动的几率密度与天体不确定关系

数学物理学报 ›› 1997, Vol. 17 ›› Issue (S1): 62-65.

不规则星系中星体随机运动的几率密度与天体不确定关系

兰承榕¹, 石文耀¹, 赖三芝¹, 兰欣²

1. 山东省菏泽教育学院物理系河泽 274016;
2. 烟台师范学校烟台 264025

收稿日期:1995-01-10 修回日期:1995-09-22 出版日期:1997-12-26 发布日期:1997-12-26

The Probability Density and Uncertainty Relation of any one of Stars with Random Motion in Irregular Galactic System

Lan Chengrong¹, Shi Wenyia¹, Lai Sanzhi¹, Lan Xin²

1. Sandong Heze Institute of Education. Heze 274016;
2. Yantai Normal University. Yantai 264025

Received:1995-01-10 Revised:1995-09-22 Online:1997-12-26 Published:1997-12-26

摘要/Abstract

摘要： 在这篇论文中,作者用Langevin随机微分方程来描写不规则星系中任何一个作准布朗型运动的星体的随机运动.并用相空间中的表示点(X.Ẋ)来描写其每一随机态.用Fokker-Planck方程计算出了这些随机态的稳态几率密度f_s(X.Ẋ);同时,用此f_sX.Ẋ计算出了随机运动星体的速度和位置的方差与涨落.进而作者发现:随机运动的星体满足一种天体的不确定关系.

关键词: 星体随机运动, 几率密度, 天体不确定关系

Abstract: In this pater,we describe the random motion of any one of stars in irregular galactic system by using Langevin equation.Using the represent points in phase space X,Ẋ,we can describe each random state of the star with random motion. From Fokker-Planck equation, we have calculated the probability density f_s(X,Ẋ) of these random states.#br#According to f_s(X,Ẋ), we have calculated the square of the standard deviation and fluctuation corresponding to the position and velocity of these stars with random motion.Hence,we discover that any one of stars with random motion in irregular galactic system should satisfy the uncertainty relation of celestial body.

Key words: random motion of any one of stars, Probability Density, Uncertainty relation of cele sital body

兰承榕, 石文耀, 赖三芝, 兰欣. 不规则星系中星体随机运动的几率密度与天体不确定关系[J]. 数学物理学报, 1997, 17(S1): 62-65.

Lan Chengrong, Shi Wenyia, Lai Sanzhi, Lan Xin. The Probability Density and Uncertainty Relation of any one of Stars with Random Motion in Irregular Galactic System[J]. Acta mathematica scientia,Series A, 1997, 17(S1): 62-65.