Problem 4.2 According to quantum mechanics, the electron cloud for a hydrogen atom in the ground state has a charge density. -2r p(r) = 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, Ee(r); then expand the exponential, assuming r «a. For a more sophisticated approach, see W. A. Bowers, Am. J. Phys. 54, 347 (1986).]

Problem 4.2 According to quantum mechanics, the electron cloud for a hydrogen atom in the ground state has a charge density. -2r p(r) = 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, Ee(r); then expand the exponential, assuming r «a. For a more sophisticated approach, see W. A. Bowers, Am. J. Phys. 54, 347 (1986).]