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 | ||||||
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Date: | November 2005 | ||||||

Institutions: | Physics > Institute of Theroretical Physics > Alumni or Retired Professors > Group Matthias Brack | ||||||

Projects: | Graduiertenkolleg Nichtlinearität und Nichtgleichgewicht | ||||||

Identification Number: |
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Related URLs: |
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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 | ||||||

Last modified: | 13 Mar 2014 10:01 | ||||||

Item ID: | 1709 |