We study the size effect on the energy levels of the 1–dimensional harmonic oscillator confined within a box of with impenetrable walls and large L. We use the particle in a box basis set to diagonalize the Hamiltonian of the confined harmonic oscillator. In this way we obtain the energy eigenvalues and eigenfunctions as a functions of L. We compare our numerical results with those reported in literature finding good agreement with the exact ones.
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