Harmonic oscillator in a one-dimensional box

Details Harmonic oscillator in a one-dimensional box Harmonic oscillator in a one-dimensional box

2009-07-31

arxiv.org/abs/0908.0006v1

Physics

Quantum Physics

Scientific paper

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.

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