January 27, 1998

PHY 742 - Problem Set # 5

1.

The computer program ``gaunt" which is found in the directory /users/faculty/phy/natalie/www-home/s98phy742/computer-programs/. The Gaunt coefficients are defined to be:

$$G^{L M}_{\ell_1m_1 \ell_2m_2} \equiv \sqrt{4 \pi} \int d\Om... ...{r}}})Y^*_{LM}({\bf{\hat{r}}}) Y_{\ell_2m_2}({\bf{\hat{r}}}).$$ (1)

Run the program and record your results for at least 5 non-trivial combinations of L, M, $\ell_1$, m₁, $\ell_2$, and m₂.