Which of the following is ALWAYS FALSE for a particle encountering a potential barrier? I. The wave function of the particle is continuous and smooth upon entering and leaving the potential barrier. II. Increasing the length of the potential barrier reduces the probability of the particle to pass through. III. Inside the potential barrier, the wave function of the particle is exponentially decreasing. IV. The transmitted wave function has a shorter wavelength.

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter28: Quantum Physics
Section28.13: Tunneling Through A Potential Energy Barrier
Problem 28.10QQ
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Which of the following is ALWAYS FALSE for a particle encountering a potential barrier?

I. The wave function of the particle is continuous and smooth upon entering and leaving the potential barrier.
II. Increasing the length of the potential barrier reduces the probability of the particle to pass through.
III. Inside the potential barrier, the wave function of the particle is exponentially decreasing.
IV. The transmitted wave function has a shorter wavelength.

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