Physics for Scientists and Engineers with Modern Physics
Physics for Scientists and Engineers with Modern Physics
10th Edition
ISBN: 9781337553292
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 40, Problem 19P

(a)

To determine

Draw the wave function ψ(x) for a quantum particle in state n=4 in a finite potential well.

(b)

To determine

Draw the probability density function |ψ(x)|2 for a quantum particle in state n=4 in a finite potential well.

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An electron (m = 9.109*10^-31 kg) is confined in a one-dimensional infinite square well of width L = 10 nm.  determine energy difference between ground and first excited energy state
An electron (m = 9.109*10^-31 kg) is confined in a one-dimensional infinite square well of width L = 10 nm.  determine energy for first excited energy state
We are going to use Heisenberg's uncertainty principle to estimate the ground- state energy of hydrogen. In our model, the electron is confined in a one- dimensional well with a length about the size of hydrogen, so that Ax = 0.0529 nm. Estimate Ap, and then assume that the ground-state energy is roughly Ap2/2me. (Give your answer in Joules or electron-volts.)
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