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- URN to cite this document:
- urn:nbn:de:bvb:355-epub-17097
- DOI to cite this document:
- 10.5283/epub.1709
Abstract
We develop a uniform semiclassical trace formula for the density of states of a three-dimensional isotropic harmonic oscillator (HO), perturbed by a term $\\frac14 \\epsilon\\,r^4$. This term breaks the U(3) symmetry of the HO, resulting in a spherical system with SO(3) symmetry. We first treat the anharmonic term for small $\\epsilon$ in semiclassical perturbation theory by integration of ...

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