What to do now?

Here are my suggestions. Feel free to add your own.

1) I think we need a beautiful graph showing the 3 (or 4) bound states all together on the same scale so we can really compare how they look and how far they extend outside the well.

2) Some \(I_{11}^m\) calculations for m=1, 2, 3 for some value of a.

3) Some nice plots of E vs q with the bandwidths and band gaps all worked out?

4) other stuff? what would you like to see?

Also, can someone do a lattice specific heat post (in response to question 2).

How about if we post stuff here and try to get this all done by Friday. Then we can start some new interesting things.

PS. Multiplying by c^2 to get away from mks units and into eV-A or eV-nm can be helpful. For example, for calculating k and kappa, one can multiply through by c to get:

\( \kappa = \sqrt{\frac{2mc^2(-E)}{\hbar^2 c^2}} \)

\( k = \sqrt{\frac{2mc^2(E+V_0)}{\hbar^2c^2}} \)

where,

\(mc^2 = 0.511 \times 10^6 \) eV

and

\(\hbar c = 1970\) eV-A