An electron having total energy E=4.50 eV approaches a rectangular energy barrier with U=5.00 eV and L= 950 pm as shown in Figure P 28.58 . Classically, the electron cannot pass through the barrier because E<U. Quantummechanically, however, the probability of tunneling is not zero. (a) Calculate this probability, which is the transmission coefficient. (b) To what value would the width L of the potential barrier have to be increased for the chance of an incident 4.50 -eV electron tunneling throug
An electron having total energy E=4.50 eV approaches a rectangul…
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Learning Quantum Mechanics Concepts with Double-Barrier Structures
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You have a quantum particle (say, an electron) approaching a rectangular energy barrier — think of this like a hill in the middle of a flat road. The particle’s energy (E) is less than the barrier height (V₀). Classically, the particle wouldn’t be able to pass — it doesn’t have enough energy to get over the hill. But quantum mechanically, it can “tunnel” through the barrier and appear on the other side with some (reduced) probability. Top Panel: Probability Density This shows |ψ(x)|², the square
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