University Physics Volume 3
17th Edition
ISBN: 9781938168185
Author: William Moebs, Jeff Sanny
Publisher: OpenStax
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Textbook Question
Chapter 7, Problem 43P
A particle with mass m is described by the following wave function:
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The general solution of the Schrodinger equation for a particle confined in
an infinite square-well potential (where V = 0) of width L is
w(x)= C sin kx + Dcos kx
V2mE
k
where C and D are constants, E is the energy of the particle and m is
the mass of the particle. Show that the energy E of the particle inside the
square-well potential is quantised.
A particle with mass m is in the state
тс
V (x,t) = Ae
+iat
2h
where A and a are positive real constants.
Calculate the potential energy function that satisfies the Schrodinger equation.
If a particle is completely free to move with no restrictions, the potential energy is 0everywhere. One solution to this free particle in one dimension isψ(x) = ei√2mE/~x. Show that this wave function satisfies the Schrodinger Equation.
Chapter 7 Solutions
University Physics Volume 3
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