Quantum Parabolic Sombrero

We have discussed the energy levels and probability distribution density for a quantum particle placed in the two-dimensional sombrero-shaped potential $V(\rho,\rho_0)=\mu\omega^2|\rho^2-\rho_0^2|/2$.Comment: 10 pages, LaTex, 6 figures (eps). accepted in Phys. Lett.