【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。更多还原

【Abstract】 In quantum mechanics,the general formula of the average value for physical quantity F^is F =∫ψ*F^ψdτ. However,it is not valid for the calculation of the kinetic energy of the particle in a δ-function potential 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,the function is T = E- ∫ψ*Vψdτ. The average kinetic energy of particles in the ground state of the potential well V( r) =- γδ( r- a) is studied.更多还原