The 1-dimensional confined harmonic oscillator revisited

• N. Aquino ^[1] ; E. Cruz ^[1]
  1. [1] Universidad Autónoma Metropolitana–Iztapalapa, Ciudad de México, México
• Localización: Revista Mexicana de Física, ISSN-e 0035-001X, Vol. 63, Nº. 6, 2017, págs. 580-584
• Idioma: inglés
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• Resumen

  • 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.