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, Ee(r ); then expand the exponential, assuming r ≫a.1

Solution 2P

Step 1 of 4:

Consider the electron cloud of a hydrogen atom in the ground state has a charge density

.

Where is the Bohr radius.

Is the charge of the electron.

We need to find out the atomic polarisability of this atom.