Calculations of the Energy and Polarizability for the H-Like Atom under High Pressures

The hydrogen-like atom, enclosed in a spherical box of radius r0, has been used as the model of the compressed hydrogen-like atom. The boundary condition that the wave function (r) must be zero as r approaches to infinite is replaced by the condition that (r) have a zero point at a finite r=r0. From the wave function for this model, the energy and polarizability are calculated as the functions of r0 and the corresponding pressure.