a. Verify that (x) is normalized. b. What are the possible values that you could obtain in measuring the kinetic energy on identically prepared systems? e. What is the probability of measuring each of these eigenvalues? d. What is the average value of Ekinetic that you would obtain from a large number of measurements?
a. Verify that (x) is normalized. b. What are the possible values that you could obtain in measuring the kinetic energy on identically prepared systems? e. What is the probability of measuring each of these eigenvalues? d. What is the average value of Ekinetic that you would obtain from a large number of measurements?
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Transcribed Image Text:Suppose that the wave function for a system can be
written as
4(x)
=
√3
4
· Φι(x) +
V3
2√₂ $2(x) +
2 + √3i
4
$3(x)
and that 1(x), 2(x), and 3(x) are orthonormal eigenfunc-
tions of the operator Ekinetic with eigenvalues E₁, 2E₁, and
4E₁, respectively.
a. Verify that (x) is normalized.
b. What are the possible values that you could obtain in
measuring the kinetic energy on identically prepared
systems?
c. What is the probability of measuring each of these
eigenvalues?
d. What is the average value of Ekinetic that you would obtain
from a large number of measurements?
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