Method for Calculating Average Value of Kinetic Energy in the Potential Well Function
LI Mingming
LIU Haiying
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.
Keywords：δ-function potential wellaverage kinetic energyVirial theorem
Publication Date：2015-01-01
Online Publishing Date：2026-05-22(First online date of this platform, not the publication date of the document)
Pages：5( 82-86 )