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courses:lecture:pplec:pplecnwellsys 2011/08/10 16:21 | courses:lecture:pplec:pplecnwellsys 2011/08/26 10:44 current | ||
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Let's graph the the as a function of $k$. | Let's graph the the as a function of $k$. | ||

- | Add image: pplecnwellsys1 | + | {{courses:lecture:pplec:pplecnwellsysfig1.png|Add image: pplecnwellsys1}} |

- | Notice that, no matter how long the chain of potential wells is, the spread in energies never exceeds $4\beta$. | + | Recall that $\beta$ has a negative value; this is very important for graphing the energy correctly. Also notice that, no matter how long the chain of potential wells is, the spread in energies never exceeds $4\beta$. |

* Finally, since we know that each coefficient for an eigenstate is determined by an envelope function, we can write that the energy eigenstates corresponding to a particular wave vector $k$ are | * Finally, since we know that each coefficient for an eigenstate is determined by an envelope function, we can write that the energy eigenstates corresponding to a particular wave vector $k$ are |