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Transmission Coefficient of a double delta function potential 
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#1
Mar612, 09:36 PM

P: 43

V(x) = g (δ(x+L)+δ(xL)
Consider scattering from a repulsive twindelta function potential. Calculate R and T. I'm mostly confused about computing the T coefficients for multiple barriers. Would I compute the T coefficient for the barrier at x = L and at x = L seperately? Then, instead of having to take an integral for the total T, for a large forbidden region, I can simply multiply the two T coefficients together since the Δx is essentially zero for a delta well. Also, for the wavefunction in each region I have: ψ_{I} = Ae^{ikx}+Be^{ikx} for (x < L) ψ_{II} = Ce^{ikx}+De^{ikx} for (L < x < L) ψ_{III} = Ee^{ikx}+Fe^{ikx} for (L < x ) But the incident wave is from left to right so F = 0. Am I on the right track? 


#2
Mar912, 10:38 PM

HW Helper
P: 2,327

I think that you are on the right track.
Probably you only have one T; only for x > L, and then you don't actually match the I,R part to the T part, but rather match the I,R part to the left side of the intermediate part, and then match the right side of the intermediate part to the T part. 


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