Thank you for your reply. I have tried to modify the solution from Ashcroft and Mermin, but I am not very experienced in the field yet and I do not quite understand how the fact that my potential is attractive (negative) changes the calculations made in the book. I have used the equation...
Hi all!
Can anyone confirm (or point me to literature) that the dispersion relation for the attractive Kronig-Penney potential is correctly given on Wikipedia (https://en.wikipedia.org/wiki/Particle_in_a_one-dimensional_lattice):
$$cos(ka) = cos(\beta b)cos(\alpha (a-b))-\frac{\alpha ^2 +...