Quantum Parabolic Sombrero

Abstract

We have discussed the energy levels and probability distribution density for a quantum particle placed in the two-dimensional sombrero-shaped potential $V(\rho ,{\rho }_0)=\mu {\omega }^2|{\rho }^2-{\rho }_0^2|/2$.

10 pages, LaTex, 6 figures (eps). accepted in Phys. Lett. A