Modern Physics
Modern Physics
2nd Edition
ISBN: 9780805303087
Author: Randy Harris
Publisher: Addison Wesley
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Chapter 6, Problem 7CQ
To determine

The particle which would tunnel more readily, proton or an electron for the same particle energy, barrier height and width.

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Suppose there are 3 particles distributed into 2 energy levels, with each level containing 2 squares (level 1) and 3 squares (level 2). If the 3 particles are Bose-Einstein, write down how many ways to occupy these energy levels?
(Requires integral calculus.) Imagine that a quanton's wavefunction at a given time is y(x) Ae-x/al, where A is an unspecified = constant and a = 35 nm . If we were to perform an experiment to locate the quanton at this time, what would be the probability (as a percent) of a result within ±0.47 a = ±16.45 nm of the origin? The probability is Note: Round the final answer to one decimal place. %.
Given the same particle energy and barrier height and width, which would tunnel more readily: a proton, or an electron? Is your answer consistent with the usual rule of thumb governing when classical or non-classical behavior should prevail?
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