**Unformatted text preview: **a) (15 points) What is the probability that the electron remains in its 1s state? b) (15 points) Can you think of a general selection rule for the sudden process? 1 s = Z 3 a 3 exp(-Zr / a ) 4. (50 pts) The energy levels of a nucleus can often be expressed in terms of the solutions to the three-dimensional isotropic harmonic oscillator. For one particle, the lowest three energy levels are as follows: 0s ( E = 1.5 h ), 1p ( E = 2.5 h ), and 2s and 2d, both with E = 3.5 h . a) (40 pts) Consider two non-interacting identical spin-1/2 fermions in a nucleus. Determine the energies, degeneracies, term symbols, and suitable kets for the three lowest configurations. Your kets can be determined by use of memory, symmetrizers/antisymmetrizers, or by angular momentum considerations. b) (10 pts) Do the same problem for the lowest configuration of three non-interacting spin-1/2 fermions....

View
Full Document

- Spring '07
- Staff
- mechanics, Neutron, Radiation, pts, first-order time-dependent perturbation, largest non-zero answer, Az interaction term