运用组合数推导全同粒子系统微观状态数的研究  

Study on the number of microstates of identical particles system derived from combination number

作　　者：郝爱民 卢天桦 HAO Ai-min;LU Tian-hua(College of Resources and Materials,Northeastern University at Qinhuangdao,Qinhuangdao 066004,China;College of of Mathematics and Statistics,Northeastern University at Qinhuangdao,Qinhuangdao 066004,China)

机构地区：[1]东北大学秦皇岛分校资源与材料学院,河北秦皇岛066004 [2]东北大学秦皇岛分校数学与统计学院,河北秦皇岛066004

出　　处：《白城师范学院学报》2023年第2期110-114,共5页Journal of Baicheng Normal University

摘　　要：现行国内外经典教材中关于全同粒子系统微观状态数的推导方法基本有两种.利用高等数学组合数的概念及其运算规则,文章给出一种不同于国内外经典教材中关于全同粒子系统微观状态数的推导方法作为统计物理课程教学中相关内容的补充,以期拓展学生思考问题和解决问题的思路,培养学生的创新思维.There are basically two kinds of derivation methods related to the number of identical particles system in the current classical textbooks at home and abroad.Using the concept of combination number and its operation rules in higher mathematics,this paper presents a new method which is different from the deduction of the number of identical particles system’microstates in the classical textbooks at home and abroad.As a supplement to the relevant contents in the teaching of statistical physics,it is expected to expand the students’thinking and solving problems ideas and cultivate their innovative thinking.

关 键 词：全同粒子 微观状态数 玻色系统 费米系统 玻耳兹曼系统 组合数 

分 类 号：O414[理学—理论物理]