Summary: | This paper aims to present a calculation of energy levels of (12-6) Lennard-Jones potential of the quantum mechanical system of the bound state problem by using finite difference methods (FDMs) with a truncation error for constructing a proper Hamiltonian matrix and calculating the eigenvalues and eigenvectors from this matrix. The interaction potential between two-particle system in the atom is in the kind of attraction and repulsion. As a result, we represent the energy in each level through a unitless energy parameter and the radial probability distribution of energy levels is also presented. Moreover, we also illustrate graphs of radial probability distribution with respect to the distance in each energy level.
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