Bundle: Physics for Scientists and Engineers with Modern Physics, Loose-leaf Version, 9th + WebAssign Printed Access Card, Multi-Term
9th Edition
ISBN: 9781305932302
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Question
Chapter 41, Problem 26P
(a)
To determine
The wave function and probability density for
(b)
To determine
The sketch of the wave functions and probability densities.
Expert Solution & Answer
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Check out a sample textbook solutionStudents have asked these similar questions
A single electron of mass m can move freely along a one-dimensionl gold
nanowire. Let x be the position coordinate of the electron along the wire.
(a) Let ø (x) be the wave function of the electron. The quantity |ø (x)|
has dimensions of inverse length. Explain very briefly the meaning
of this quantity as a probability density.
(b) Let us assume that
$ (x) = A sin (3kox)
(2)
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Hint: the momentum operator is p
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(c) Establish whether the wave function (x) given in Eq. (2) represents
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Hint: the kinetic energy operator is K = p²/2m.
(d) Let us now assume that the gold nanowire mentioned above is not
infinite, but extends over a finite length from r= 0 to x = L. Inside
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this region the potential energy is infinite…
Consider a particle trapped in a 1D box with zero potential energy with walls at x = o
and x = L. The general wavefunction solutions for this problem with quantum number,
n, are:
V,6) = sin )
4n(x) =
The corresponding energy (level) for each wavefunction solution is:
n²h?
En
8mL?
a) What is the probability of finding the particle between x = L/4 and x = 3L/4 when
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You can use calculator or a numerical program to do the integral. For people who want
to try doing the integral by hand, the following identity will be helpful: sin²(x) = (1 – cos
(2x))/2.
radial function of the figure
a) r value at which the probability density is maximum.
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Chapter 41 Solutions
Bundle: Physics for Scientists and Engineers with Modern Physics, Loose-leaf Version, 9th + WebAssign Printed Access Card, Multi-Term
Ch. 41.1 - Prob. 41.1QQCh. 41.2 - Prob. 41.2QQCh. 41.2 - Prob. 41.3QQCh. 41.5 - Prob. 41.4QQCh. 41 - Prob. 1OQCh. 41 - Prob. 2OQCh. 41 - Prob. 3OQCh. 41 - Prob. 4OQCh. 41 - Prob. 5OQCh. 41 - Prob. 6OQ
Ch. 41 - Prob. 7OQCh. 41 - Prob. 8OQCh. 41 - Prob. 9OQCh. 41 - Prob. 10OQCh. 41 - Prob. 1CQCh. 41 - Prob. 2CQCh. 41 - Prob. 3CQCh. 41 - Prob. 4CQCh. 41 - Prob. 5CQCh. 41 - Prob. 6CQCh. 41 - Prob. 7CQCh. 41 - Prob. 8CQCh. 41 - Prob. 1PCh. 41 - Prob. 2PCh. 41 - Prob. 3PCh. 41 - Prob. 4PCh. 41 - Prob. 5PCh. 41 - Prob. 6PCh. 41 - Prob. 7PCh. 41 - Prob. 8PCh. 41 - Prob. 9PCh. 41 - Prob. 10PCh. 41 - Prob. 11PCh. 41 - Prob. 12PCh. 41 - Prob. 13PCh. 41 - Prob. 15PCh. 41 - Prob. 16PCh. 41 - Prob. 17PCh. 41 - Prob. 18PCh. 41 - Prob. 19PCh. 41 - Prob. 20PCh. 41 - Prob. 21PCh. 41 - Prob. 22PCh. 41 - Prob. 23PCh. 41 - Prob. 24PCh. 41 - Prob. 25PCh. 41 - Prob. 26PCh. 41 - Prob. 27PCh. 41 - Prob. 28PCh. 41 - Prob. 29PCh. 41 - Prob. 30PCh. 41 - Prob. 31PCh. 41 - Prob. 32PCh. 41 - Prob. 33PCh. 41 - Prob. 34PCh. 41 - Prob. 36PCh. 41 - Prob. 37PCh. 41 - Prob. 38PCh. 41 - Prob. 39PCh. 41 - Two particles with masses m1 and m2 are joined by...Ch. 41 - Prob. 41PCh. 41 - Prob. 42PCh. 41 - Prob. 43APCh. 41 - Prob. 44APCh. 41 - Prob. 45APCh. 41 - Prob. 46APCh. 41 - Prob. 47APCh. 41 - Prob. 48APCh. 41 - Prob. 49APCh. 41 - Prob. 50APCh. 41 - Prob. 51APCh. 41 - Prob. 52APCh. 41 - Prob. 53APCh. 41 - Prob. 54APCh. 41 - Prob. 56APCh. 41 - Prob. 57APCh. 41 - Prob. 58APCh. 41 - Prob. 59CPCh. 41 - Prob. 60CPCh. 41 - Prob. 61CPCh. 41 - Prob. 62CPCh. 41 - Prob. 63CP
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