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

Brack, Matthias and Ögren, M. and Yu, Y. and Reimann, Stephanie (2005) Uniform semiclassical trace formula for U(3) --> SO(3) symmetry breaking. Journal of Physics A 38, pp. 9941-9967.

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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 ...

## Export bibliographical data

Item Type:Article
Date:November 2005
Institutions:Physics > Institute of Theroretical Physics > Alumni or Retired Professors > Group Matthias Brack
Identification Number:
ValueType
nlin.SI/0505060arXiv ID
10.1088/0305-4470/38/46/004DOI
Related URLs:
URLURL Type
http://arxiv.org/abs/nlin.SI/0505060Preprint
Dewey Decimal Classification:500 Science > 530 Physics
Status:Published
Refereed:Yes, this version has been refereed
Created at the University of Regensburg:Yes
Deposited On:20 Mar 2007
Item ID:1709
Owner Only: item control page