Sub: Physics Topic: QuantumMechanics
Question:
An electron having total energy E = 3.70 eV approaches a rectangular energy barrier with U =
4.90 eV and L = 950 pm, as in Figure. Classically, the electron cannot pass through the barrier
because E < U.
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However, quantum-mechanically a finite probability of tunneling exists. Calculate this
probability, which is the transmission coefficient.
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Sub: Physics Topic: QuantumMechanics
Solution:
The Transmission Coefficient is given by the expression:
16E U-E
T= e-2βL
U2
2m U-E
where =

16×3.7×1.6×10-19 × 4.9-3.7 ×1.6×10-19 -12
So T= e-2β×950×10
-19 2
4.9×1.6×10
2π 2 9.1 10 31× 4.9-3.7 ×1.6×10-19
where = 34
5.5707 109
6.67 10
-12
so T = 2.95876 e-2β×950×10 2.95876 e-10.584 7.488 10 5
** End of the Solution **
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the same in lieu of your academic submissions for grades.