Scattered State Solutions of a Repulsive Dirac Delta Potential

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Homework Statement
For a repulsive Dirac delta potential V = a##\delta##(x), find the scattered state solutions.
Relevant Equations
##\beta## = ##\frac{4\pi^{2}m\alpha}{h^{2}k}##
##k^{2}## = ##\frac{8\pi^{2}mE}{h^2}##
I feel that this problem can be directly answered from the E>0 case of the attractive Dirac delta potential -a##\delta##(x), with the same reflection and transmission coefficients. Can someone confirm this hunch of mine?
 
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Yes, your hunch is correct. The attractive Dirac delta potential -a##\delta##(x) is a special case of the more general problem of an attractive delta potential V(x). The reflection and transmission coefficients for the attractive Dirac delta potential -a##\delta##(x) are the same as those for the more general case of an attractive delta potential V(x).
 
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