Thermodynamics, Statistical Physics, and Quantum Mechanics

5.41 Rotator in Field (Stony Brook)

The eigenfunctions and eigenvalues are

b) The electric field interacts with the dipole moment to give an interaction

This problem is almost identical to the previous one. The quantity of
the previous problem is changed to the moment I in the present problem.
The perturbation results are similar. The first-order perturbation vanishes
since The second-order perturbation is given by (S.5.40.3)
and (S.5.40.4) after changing to I and to

5.42 Finite Size of Nucleus (Maryland, Michigan
State, Princeton, Stony Brook)

a) To find the potential near the nucleus, we note Gauss’s law, which
states that for an electron at a distance from the center of a spherical
charge distribution, the electric field is provided only by those electrons
inside a sphere of radius For this is the charge
whereas for it is just the charge Z. Thus, we find for the derivative
of the potential energy:

a)

290 SOLUTIONS