计算δ函数势阱中平均动能的方法  

Method for Calculating Average Value of Kinetic Energy in the Potential Well Function

作　　者：李明明[1] 刘海英[1] 

机构地区：[1]济南大学物理科学与技术学院,山东济南250022

出　　处：《山东交通学院学报》2015年第2期82-86,共5页Journal of Shandong Jiaotong University

基　　金：济南大学教研项目(W201402)

摘　　要：用量子力学基本公式F=∫ψ*F^ψdτ计算粒子在δ势阱中运动的平均动能时,结果为负,这是由求解δ势阱中运动方程的特殊方法造成的。采用由解定态方程得到的定态能量减去平均势能得到平均动能的新方法,计算公式为T=E-∫ψ*Vψdτ。并研究了粒子在势阱V(r)=-γδ(r-a)基态的平均动能。In quantum mechanics, the general formula of the average value for physical quantity F is F=∫ψ·FψdτHowever, it is not valid for the calculation of the kinetic energy of the particle in a t%functionpotential well, since it gives a negative value for the kinetic energy, which is caused by the special method of solving the motion equation of the potential well. A new method to obtain kinetic energy is adopted by using the steady state energy obtained by the solution of the steady state equation minus the average potential energy, thefunction is T=E-∫ψ·FψdτThe average kinetic energy of particles in the ground state of the potential well V（r）=-γδ（r-a）is studied.

关 键 词：δ势阱 平均动能 维里定理 

分 类 号：O41[理学—理论物理]