(6514) WKB transmission of parabolic barrier

Obtain the WKB approximation for the under-the-barrier transmission of a parabolic potential $V(x)=(1/2)Kx^2$. Compare with the exact solution that can be found in the book of Landau and Lifshitz (§50 Problem 4), and with the exact solution for the inverse cosh(x) potential (§25 Problem 4).