Brack, Matthias and Ögren, M. and Yu, Y. and Reimann, Stephanie
Uniform semiclassical trace formula for U(3) --> SO(3) symmetry breaking.
Journal of Physics A 38, pp. 9941-9967.
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Other URL: http://ej.iop.org/links/q22/5zfdYXxqoSK6BbmsLjOx4g/a5_46_004.pdf
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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