# Transmission Coefficient of a double delta function potential

by jmm5872
Tags: coefficient, delta, double, function, potential, transmission
 P: 43 V(x) = |g| (δ(x+L)+δ(x-L) Consider scattering from a repulsive twin-delta 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: ψI = Aeikx+Be-ikx for (x < -L) ψII = Ceikx+De-ikx for (-L < x < L) ψIII = Eeikx+Fe-ikx for (L < x ) But the incident wave is from left to right so F = 0. Am I on the right track?
 HW Helper P: 2,328 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.