When a Particle of Energy E Encounters the Step Function

question 26

Multiple Choice

When a particle of energy E encounters the step function shown in the figure,

• A) the classical and quantum-mechanical descriptions are in agreement provided E < U₀.
• B) the wave function does not go to zero at x = 0 but rather decays exponentially.
• C) the particle will sometimes be transmitted and sometimes reflected if E > U₀.
• D) the wavelength of the particle changes abruptly at x = 0 if E > U₀.
• E) All of these are true.

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