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Physics 228 Spring 2008
Wave Function and Schroedinger Equation
Due at 11:59pm on Wednesday, April 2, 2008
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Finding Probabilities from the Wave Function
Learning Goal:
To use the wave function for a particle in a box to calculate the probability that the particle is
found in various regions within the box.
The quantum mechanical probability that a particle described by the (normalized) wave function
is found in the
region between
and
is
.
The specific example of a particle trapped in an infinitely deep potential well, sometimes called a particle in a box,
serves as good practice for calculating these probabilities, because the wave functions for this situation are easy to
write down. If the ends of the box are at
and
, then the allowed wave functions are
where
is the ground-state wave function,
is the first excited state, etc.
Here are a few integrals that may prove useful:
z
,
z
,
z
, and
z
.
Part A
Page 1 of 8
MasteringPhysics: Assignment Print View
5/8/2008
http://session.masteringphysics.com/myct/assignmentPrint?assignmentID=1116520

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