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- - **Kronig-Penney model (attractive potential)**
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Kronig-Penney model (attractive potential)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/Partic...onal_lattice): $$cos(ka)=cos(βb)cos(α(a−b))−\frac{α^2+β^2}{2αβ}si n(βb)sin(α(a−b))$$ I have been unsuccessful at calculating the determinant (also given on Wikipedia) despite multiple tries, and was unable to find literature which deals with the attractive variant of the potential. |

Your Smiley had been included in the link you posted (so it doesn't work), Here is the corrected link: < Particle in a one dimensional lattice>I'm sorry but I will have to leave the maths to someone else, it is beyond my limited abilities. There must be some mathematician out there who is willing give it a go... (or have you all totally addled your brains in the new-year celebrations) |

Happy New Years! Check the appendix here: https://kdf.mff.cuni.cz/vyuka/konden...onigPenney.pdf It gives instructions for calculating the determinant of the variant of the potential with potential barriers. I've tried to follow the instructions for my (attractive) case but I can't see it through to the end. |

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