Hi when using the WKB approx, is there a general method to find these Refelction and Transmission coefficients, I have tried looking in books and on the net and I can't find a 'general' formula, they tend tjust to be quoted. I know that [itex] |T|^{2}+|R|^{2}=1 [/itex].(adsbygoogle = window.adsbygoogle || []).push({});

And generally that [itex] T= \frac{j_{trans}}{j_{trans}} [/itex] and vice versa, but for something like, [itex] \ddot{X} + (y^{2}+t^{2})X=0 [/itex]

The coeficients are given by:

Reflection =[itex] \frac{-ie^{i\theta}}{\sqrt{1+e^{\pi y^{2}}}}[/itex]

Transmission= [itex] \frac{e^{-i\theta}}{\sqrt{1+e^{-\pi y^{2}}}}[/itex]

but am largely unsure as how to calculate it?

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# Transmission and reflection coefficients

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