Static and dynamic dipole polarizabilities and electron density at origin: ground and excited states of hydrogen atom confined in multiwalled fullerenes

Abstract

We report accurate computations of static and dynamic dipole polarizabilities for the ground and excited states of hydrogen atom confined at the center of either a single and/or multiwalled fullerene cage, using the Galerkin variational method developed on a B-spline basis set. The results obtained in the cage-free case are in good agreement with other numerical techniques such as the mapped Fourier grid method. It is shown that the addition of new walls does not modify the polarizability of the ground state, but changes significantly those of the excited states. A condition on the ratio of the scaled second derivative of density to the scaled density evaluated at the nuclear position is tested in case of the cage confined atoms for the first time, and the significance of such numerical results are discussed.