You are here: start » activities » guides » cfballoon
Differences
This shows you the differences between the selected revision and the current version of the page.
| activities:guides:cfballoon 2013/08/27 10:03 | activities:guides:cfballoon 2013/08/27 10:03 current | ||
|---|---|---|---|
| Line 88: | Line 88: | ||
| What happens if we add two spherical harmonic functions? For example ($/ell = 1$, $m = 1$) and ($\ell = 1$ $m = -1$). Discuss the constructive and destructive interference of complex numbers. | What happens if we add two spherical harmonic functions? For example ($/ell = 1$, $m = 1$) and ($\ell = 1$ $m = -1$). Discuss the constructive and destructive interference of complex numbers. | ||
| + | |||
| Line 99: | Line 100: | ||
| *What linear combination of the $\ell = 0$ and $\ell = 1$ spherical harmonics would describe a probability density that is big in the $x$direction but and small in $-x$ direction? | *What linear combination of the $\ell = 0$ and $\ell = 1$ spherical harmonics would describe a probability density that is big in the $x$direction but and small in $-x$ direction? | ||
| - | An alternative activity only asks students to show how the phase (not the magnitude) changes about the equator. Have one group at each table show $e^{i\phi}$ and one group show $e^{-i\phi}$ around the equator. By asking them to then add their functions together, you can use this as a way of introducing the superposition of states and to talk about how physicists' counting of states ($p_1$, p_0$, $p_{-1}$) differs from chemists' counting of states ($p_x$, $p_y$, $p_z$). | + | An alternative activity only asks students to show how the phase (not the magnitude) changes about the equator. Have one group at each table show $e^{i\phi}$ and one group show $e^{-i\phi}$ around the equator. By asking them to then add their functions together, you can use this as a way of introducing the superposition of states and to talk about how physicists' counting of states ($p_1$, $p_0$, $p_{-1}$) differs from chemists' counting of states ($p_x$, $p_y$, $p_z$). |
