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arXiv · hep-th/9604045

Nonpointlike Particles in Harmonic Oscillators

Achim Kempf
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Abstract

Quantum mechanics ordinarily describes particles as being pointlike, in the sense that the uncertainty $Δx$ 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.

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Achim Kempf. 1996-04-09. Nonpointlike Particles in Harmonic Oscillators. https://doi.org/10.1088/0305-4470%2F30%2F6%2F030

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