谐振子的经典和量子统计分布  

Classical and quantum statistical distributions of harmonic oscillators

作　　者：康琳惠 张林[1] KANG Lin-hui;ZHANG Lin(College of Physics and Information Technology,Shaanxi Normal University,Xi'an,Shaanxi 710119,China)

机构地区：[1]陕西师范大学物理学与信息技术学院,陕西西安710119

出　　处：《大学物理》2021年第7期30-34,共5页College Physics

摘　　要：经典统计与量子统计之间存在着一定的区别和联系,并在一定的条件下可以相互转换.本文以物理学中非常重要的谐振子模型为例,分别从谐振子的运动状态描述、能量、测不准原理、运动空间分布、概率分布等方面对这两种统计方法进行了比较从而归纳出谐振子的经典统计与量子统计分布的异同,加深了对量子动力学行为的进一步理解和认知.There are some differences and connections between classical statistics and quantum statistics,and they can be converted to each other under certain conditions.The harmonic oscillator model is very important in physics,for example,the movement of the harmonic oscillator state description,energy,and the uncertainty principle,spatial distribution and probability distribution of the two kinds of statistical methods are compared and summarized,respectively.The classical statistics of harmonic oscillator and the similarities and differences with quantum statistical distribution are deepened to the further understanding of quantum dynamics behavior and cognition.

关 键 词：谐振子模型 经典统计分布 量子统计分布 

分 类 号：O4-1[理学—物理]