Physics for Scientists and Engineers, Vol. 1
6th Edition
ISBN: 9781429201322
Author: Paul A. Tipler, Gene Mosca
Publisher: Macmillan Higher Education
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Question
Chapter 35, Problem 20P
(a)
To determine
The ground state wave-function of the particle.
(b)
To determine
The allowed energy states.
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Students have asked these similar questions
(a) Use the standard definition of the average value of a random variable given its
probability density function:
= 10 x p₁(x)
-∞
(9)
to find average position of the wave-particle for each stationary state. Recall
that pn =
Un is the probability density associated with the stationary state
n = 1,2,... for the particle in a box. Also, n(x, t) is only defined for x =
(0, L). Hint: the result is the same for all stationary states. That is, it does
not depend on n.
n=
dx.
Ffor a particle rotating on a ring,
(a) give the expression of the probability py(?) of finding the particle at angle ? in the state

The ground state energy of a particle of mass m in an infinite potential well is E,. It
changes to E,(1+ a x 10-3), when there is a small potential bump of height
and width a = L/100, as shown in the figure. The value of a is
V.
50ml?
to two decimal places).
(up
V(x)
L-
Chapter 35 Solutions
Physics for Scientists and Engineers, Vol. 1
Ch. 35 - Prob. 1PCh. 35 - Prob. 2PCh. 35 - Prob. 3PCh. 35 - Prob. 4PCh. 35 - Prob. 5PCh. 35 - Prob. 6PCh. 35 - Prob. 7PCh. 35 - Prob. 8PCh. 35 - Prob. 9PCh. 35 - Prob. 10P
Ch. 35 - Prob. 11PCh. 35 - Prob. 12PCh. 35 - Prob. 13PCh. 35 - Prob. 14PCh. 35 - Prob. 15PCh. 35 - Prob. 16PCh. 35 - Prob. 17PCh. 35 - Prob. 18PCh. 35 - Prob. 19PCh. 35 - Prob. 20PCh. 35 - Prob. 21PCh. 35 - Prob. 22PCh. 35 - Prob. 23PCh. 35 - Prob. 24PCh. 35 - Prob. 25PCh. 35 - Prob. 26PCh. 35 - Prob. 27PCh. 35 - Prob. 28PCh. 35 - Prob. 29PCh. 35 - Prob. 30PCh. 35 - Prob. 31PCh. 35 - Prob. 32PCh. 35 - Prob. 33PCh. 35 - Prob. 34PCh. 35 - Prob. 35PCh. 35 - Prob. 36PCh. 35 - Prob. 37PCh. 35 - Prob. 38P
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