Static polarizability of an atom confined in Gaussian potential

Optical properties like oscillator strength and polarizability have been calculated for a hydrogen atom under the effect of Gaussian potential and loose spherical confinement by solving the Schrodinger equation numerically. The finite basis set method based on B-polynomials has been successfully employed to calculate the energy spectrum of such systems. The effect of varying Gaussian confinement parameters on the energy spectrum, radial dipole matrix elements and optical properties has been investigated in detail. Dependence of static polarizability on the number of states chosen to represent the system has also been explored.