Uniform semiclassical trace formula for U(3) --> SO(3) symmetry breaking

URN to cite this document:: urn:nbn:de:bvb:355-epub-17097
DOI to cite this document:: 10.5283/epub.1709

Brack, Matthias ; Ögren, M. ; Yu, Y. ; Reimann, Stephanie

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Date of publication of this fulltext: 05 Aug 2009 13:31

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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 ...