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Quantum mechanics ordinarily describes particles as being pointlike, in the sense that the uncertainty \ x can, in principle, be made arbitrarily small. It has been shown that suitable correction terms to the canonical commutation relations induce a finite lower bound to spatial localisation. Here, we perturbatively calculate the corrections to the energy levels of an in this sense nonpointlike particle in isotropic harmonic oscillators. Apart from a special case the degeneracy of the energy levels is removed.
Achim Kempf (Fri,) studied this question.