1996/04/09 by Achim Kempf
Physics and Astronomy · #hep-th #cond-mat #nucl-th
paper · pdf · doi:10.1088/0305-4470/30/6/030
published as J.Phys.A30:2093-2102,1997 · LaTeX, 9 pages, 1 figure included via epsf option
arxiv created 1996/04/09 · arxiv updated 2009/11/30
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.