Polarizability of off-center spherically confined hydrogen atom

The non-relativistic static and dynamic dipole polarizabilities of the ground and lowest excited states of the hydrogen atom, off-center in a spherical cavity, were investigated using B-Splines. For this purpose, the off-center Coulomb interaction, commonly evaluated by a multipole expansion was obtained in a different and faster approach. In the nearly centered case, the results obtained with a spherically symmetric description were recovered. The convergence tests performed showed the robustness of the numerical code used for these new calculations, and enabled us to carry out computations of the polarizabilities of the ground and lowest excited states of the off-center Hydrogen atom, as as function of the cavity radius and the distance from the center.