According to quantum mechanics, the electron cloud for a hydrogen atom in the ground sta...

According to quantum mechanics, the electron cloud for a hydrogen atom in the ground state has a charge density

where q is the charge of the electron and a is the Bohr radius. Find the atomic polarizability of such an atom. [Hint: First calculate the electric field of the electron cloud, E_e(r ); then expand the exponential, assuming r ≫a.¹