An Introduction to Thermal Physics
1st Edition
ISBN: 9780201380279
Author: Daniel V. Schroeder
Publisher: Addison Wesley
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Chapter A.4, Problem 20P
To determine
To Find: The allowed values of
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A particle with zero (total) energy is described by the wavefunction,
Ψ(x) =A cos((n?x/L)): −L/4≤ x ≤ L/4
= 0 : elsewhere.
Determine the normalization constant A.
Calculate the potential energy of the particle.
What is the probability that the particle will be found between x= 0 and x=L/8?
Given that at time t = 0 a particle’s wave function is given by ψ(x, 0) =Ax/a, if 0 ≤ x ≤ a,A(b − x)/(b − a), if a ≤ x ≤ b, with A0, Otherwise.a and b as constants, answer the following questions;
a) Find the normalization constant A in terms of the constants a and b.
b) Sketch ψ(x, 0) as a function of x.
c) Where is the particle most likely to be found at time t = 0?
d) What is the probability of finding the particle to the left of a?
Try to normalize the wave function ei(kx-ωt) . Why can’t it be done over all space? Explain why this is not possible
Chapter A Solutions
An Introduction to Thermal Physics
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