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

URN zum Zitieren dieses Dokuments:: urn:nbn:de:bvb:355-epub-17097
DOI zum Zitieren dieses Dokuments:: 10.5283/epub.1709

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

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Veröffentlichungsdatum dieses Volltextes: 05 Aug 2009 13:31

Alternative Links zum Volltext:Arxiv DOI Verlag

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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 ...