一维无限深势阱的波函数  

The Wave Function of the One-Dimensional Infinite Potential Well

作　　者：贾晶[1] 

机构地区：[1]山西大学物理电子工程学院,山西太原030000

出　　处：《晋中学院学报》2014年第3期7-11,31,共6页Journal of Jinzhong University

摘　　要：利用数值计算方法绘制了无限深方势阱的不同解析解形式的波函数,讨论不同解析解波函数的相位的成因,并通过绘制无限深方势阱的概率密度分布曲线得出虽然不同解析解的相位不同,但它们的概率分布是一致的结论.从一个侧面说明了量子力学中的波函数可以相差一相位因子.In this article,via numerical method,we have shown the wave function diagrams corresponding to the different analytical solutions of the infinitely deep square potential,and the reason which causes the different phase of the analytic solution has been discussed.The probability density distribution curve is given,through which we found that the probability density distribution of the analytical solutions are identical even though the phase of them are different.This conclusion reflects in one side that a phase factor difference of the wave functions can exist in quantum mechanics.

关 键 词：概率密度 波函数 相位 

分 类 号：O413.1[理学—理论物理]