Griffiths problems:
1) | 3.45c | [10 pts] |
Given the quadrapole tensor Q in the coordinate system r, derive an expression for the quadrapole tensor Q' in the coordinate system r', where r'=r-d (d is a constant displacement vector.) Show that Q=Q' (i.e. that Q is independent of the choice of origin) only if both the monopole and the dipole moments vanish. | ||
2) | 3.29 | [10 pts] |
Also, for this problem, explicitly show, by direct calculation, that the quadrapole moment vanishes. | ||
3) | 3.30 | [10 pts] |
4) | 3.40 | [10 pts] |
5) | 3.41 | [10 pts] |