Hi All,(adsbygoogle = window.adsbygoogle || []).push({});

I have a question regarding the WKB method for computing tunnelling through barriers.

I understand the method and the ability to arrive at a solution as given in the first part (summary) of the first page here:

http://www.physics.udel.edu/~msafrono/425/Lecture 18.pdf

Is it correct to say that the tunneling probability is given by

[tex] \left| \frac{\psi(b)}{\psi(a)}\right|^2[/tex] where a is the classical turning point and b is the end of the barrier?

If so, and one had some arbitrary potential barrier, does one not need to take into account the [tex] \frac{1}{\sqrt{p}}[/tex] factors evaluated at these end points (i.e. higher order terms in the WKB approx)? Does this give the accurate prefactor to the transmission probability T?

Cheers!

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# Quantum tunnelling decay time

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