  The non-relativistic static and dynamic dipole polarizabilities of hydrogen
atom experiencing a cylindrical confinement are investigated. Two methods based
on B-Splines are used for the computations of the energies and wavefunctions.
The first method is a variational based method while the second one proceeds by
a fit of the non-separable Coulomb potential in the product form. The computed
energies compare very well with previous computations. They converge, as well
as the dipole polarizability, to the exact unconfined free atom values. The fit
approach is found to be advantageous, as it helps saving the computational time
without a loss of accuracy. Dynamic polarizabilities have been reported for
various dimensions of the confining cylinder.
