Two-particle Harmonic Oscillator in a One-dimensional Box

P. Amore, F. M. Fernández


We study a harmonic molecule confined to a one-dimensional box with impenetrable walls. We explicitly consider the symmetry of the problem for the cases of different and equal masses. We propose suitable variational functions and compare the approximate energies given by the variation method and perturbation theory with accurate numerical ones for a wide range of values of the box length. We analyze the limits of small and large box size.


harmonic oscillator; diatomic molecule; confined system; one-dimensional box; point symmetry; avoided

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ISSN 1210-2709 (Print)
ISSN 1805-2363 (Online)
Published by the Czech Technical University in Prague