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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 $k$.
-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

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