4. Tunneling of particles through barriers that are high or wide (or both) is different than usual. Show that for a square barrier with 21UL? >1 and particles with energies less than the maximum of the barrier energy (E « U), the transmission probability is approximately 16ニe-2V2m(U-E)/hL (The UL ^ 2 combination is sometimes referred to as the barrier force.)

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4. Tunneling of particles through barriers that are high or wide (or both) is different than usual. Show that for a square
barrier with
21UL?
>1
and particles with energies less than the maximum of the barrier energy (E « U), the transmission probability is
approximately
E
P 16 e
-2[/2m(U-E)/ħ|L
(The UL ^ 2 combination is sometimes referred to as the barrier force.)
Transcribed Image Text:4. Tunneling of particles through barriers that are high or wide (or both) is different than usual. Show that for a square barrier with 21UL? >1 and particles with energies less than the maximum of the barrier energy (E « U), the transmission probability is approximately E P 16 e -2[/2m(U-E)/ħ|L (The UL ^ 2 combination is sometimes referred to as the barrier force.)
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