Static and dynamic dipole $\alpha \left(\omega \right)$ and quadrupole ${\alpha }_2\left(\omega \right)$ polarizabilities for the $2{}^{1}S$ ground state, and the low-lying $S$ states: $3{}^{1}S$ and $3{}^{3}S$ of Be are calculated using our time-dependent gauge invariant method. The results obtained for the dipole polarizability are compared with previous accurate theoretical data. The quadrupole dynamic polarizabilities proposed here are new, to our knowledge. In all cases dynamic components are calculated for dipole and quadrupole polarizability up to the first two resonances.

• Received 29 September 1997

DOI:https://doi.org/10.1103/PhysRevA.57.2470