Nonpointlike Particles in Harmonic Oscillators

Details Nonpointlike Particles in Harmonic Oscillators Nonpointlike Particles in Harmonic Oscillators

1996-04-09

arxiv.org/abs/hep-th/9604045v1

J.Phys.A30:2093-2102,1997

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX, 9 pages, 1 figure included via epsf option

Scientific paper

10.1088/0305-4470/30/6/030

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

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