Physics · Quantum Mechanics
Electrons of energy E coming from x = -∞ impinge upon a potential barrier of width 2a and height V0 centered at the origin, with 0 < E < V0. Let k1 = √(2mE/ℏ2) and k2 = √(2m(V0 - E)/ℏ2). Which of the following statements is NOT correct regarding the wave function solutions?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1In the transmitted region x > a, the wave function is proportional to exp(ik1x)
- 2In the region -a ≤ x ≤ a, the general wave function is a linear combination of exp(k2x) and exp(-k2x)
- 3The region -a ≤ x ≤ a is a classically forbidden region where exponential decay and growth terms exist
- 4In the region x < -a, the complete wave function consists solely of the incident term exp(ik1x)✓
Correct answer
In the region x < -a, the complete wave function consists solely of the incident term exp(ik1x)
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