三维线性谐振子量子性运动图像的可视化探究  

The visualization of the quantum linear harmonic oscillator in three-dimensional space

作　　者：石浚希 范晓鑫 鄂依婷 孔令阳[1] 齐欣 舒崧 SHI Jun-xi;FAN Xiao-xin;E Yi-ting;KONG Ling-yang;QI Xin;SHU Song(Department of Physics,Hubei University,Wuhan,Hubei 430062,China)

机构地区：[1]湖北大学物理学院,湖北武汉430062

出　　处：《大学物理》2023年第11期35-41,共7页College Physics

摘　　要：本文从量子力学中三维线性谐振子在直角坐标和球坐标系下的波函数出发,采用蒙特卡罗方法对空间概率函数进行了抽样,并采用Mathmatica软件对不同坐标系下谐振子运动的概率云图像进行了可视化呈现,进一步结合可视化图像对两种坐标系下不同量子数分解方式下得到的系统量子性运动特征进行了详细的对比研究,并从量子力学理论角度分析了对应的物理意义.Based on the wave functions of three-dimensional quantum linear harmonic oscillator in the Descartes and spherical coordinates,we make the sampling by Monte Carlo method through the spatial probability density function.The spatial probability cloud of the particle is visualized by Mathematica software in different coordinate systems.Further comparison and analyzation of the visualization pictures of the system from different decompositions of the quantum numbers in two coordinate systems are carried out.And the physical meaning is illustrated from the theoretical point of view of quantum mechanics.

关 键 词：量子力学 三维各向同性谐振子 蒙特卡罗法 可视化 

分 类 号：O413.1[理学—理论物理]