Abstract

AQUINO, N.  and  CRUZ, E.. The 1-dimensional confined harmonic oscillator revisited. Rev. mex. fis. [online]. 2017, vol.63, n.6, pp.580-584. ISSN 0035-001X.

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.

Keywords : Confined harmonic oscillator; energy eigenvalues; linear variational method; 03.65Ge; 02.60.-x.