Brack, Matthias, Ögren, M., 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 ...
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| 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 | ||||||
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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 | ||||||
| Item ID: | 1709 |
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