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erok81
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Homework Statement
In my never ending quest to suck and never be able to do Taylor Expansions, I have another one. I hope one day I'll be able to do these.
I have an unknown material and a scanning tunnel microscope. A layer of hydrogen atoms of radius R are added to the surface. This of course will affect my potential barrier as it changes the work function of my set up.
Call my original tunneling coefficient to be T0 and my hydrogen layer to be T1.
With R << 1/α, how does the difference T0-T1 modifies. Use a taylor expansion.
Homework Equations
My tunneling probability is given by:
[tex]T=\frac{16E(U_{0}-E)}{U_{0}^{2}}e^{-4 \alpha L}[/tex]
Where my transmission coefficient is given by:
[tex]T=\frac{16E(U_{0}-E)}{U_{0}^{2}}[/tex]
The Attempt at a Solution
I hate posting problems like this because I have no idea how to begin.
I know that 1/α Ξ δ where δ is the penetration depth in a potential barrier. And obviously is L>>δ not much of the wave function will survive the barrier. So here R is much less than the penetration depth.
That's about all I have.