# Question on Finding Transmission Coefficient

by arenaninja
Tags: coefficient, transmission
 P: 26 1. The problem statement, all variables and given/known data Find the transmission coefficient for the potential $$V(x)=-\alpha\left[\delta\left(x+a\right)+\delta\left(x-a\right)\right]$$, where alpha and a are positive constants. 2. Relevant equations $$T \equiv \frac{\left|F\right|^{2}}{\left|A\right|^{2}}$$ 3. 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 $$T=\frac{1}{1+ \beta^{2}}$$ 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.
 Sci Advisor HW Helper PF Gold P: 2,606 The potential is zero in the 3 regions: [tex]x< -a, -a
 P: 26 ahhh, that's right. Thanks a lot, it makes a lot more sense from your first sentence and I can make some more progress on this one now.

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