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arenaninja
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Homework Statement
Find the transmission coefficient for the potential [tex]V(x)=-\alpha\left[\delta\left(x+a\right)+\delta\left(x-a\right)\right][/tex], where alpha and a are positive constants.
Homework Equations
[tex]T \equiv \frac{\left|F\right|^{2}}{\left|A\right|^{2}}[/tex]
The Attempt at a Solution
I'm technically not sure on where to begin this problem. After reading the section (twice now), I noticed that it pretty much explicitly omits considering potentials which are not zero. And also, there is another formula for the transmission coefficient
[tex]T=\frac{1}{1+ \beta^{2}}[/tex]
but, again, I'm not too sure on whether I should be using this one. My first instinct is to solve the Schrodinger wave equation, but it looks to be fairly mmessy with those dirac deltas.
Am I missing something really obvious? To recap, it looks like the book's section wanted to purposely omit non-zero potentials, and yet this problem appears to have a non-zero potential, leaving me clueless as to how to deal with it short of starting from scratch.