Consider a particle in the first excited state of an infinite square well of width L. This particle has wavefunction (found in image ) for −L/2 ≤ x ≤ L/2, and ψ2(x) = 0 elsewhere. a) What is the value of the energy of this particle, E2? b) What is the probability density function, ρ, for this particle? c) At what values of x does the probability density vanish? d) What is the probability of finding this particle in the interval 0 ≤ x ≤ L/8?
Consider a particle in the first excited state of an infinite square well of width L. This particle has wavefunction (found in image ) for −L/2 ≤ x ≤ L/2, and ψ2(x) = 0 elsewhere. a) What is the value of the energy of this particle, E2? b) What is the probability density function, ρ, for this particle? c) At what values of x does the probability density vanish? d) What is the probability of finding this particle in the interval 0 ≤ x ≤ L/8?
Physics for Scientists and Engineers, Technology Update (No access codes included)
9th Edition
ISBN:9781305116399
Author:Raymond A. Serway, John W. Jewett
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Chapter1: Physics And Measurement
Section: Chapter Questions
Problem 1.10OQ: A calculator displays a result as 1.365 218 0 X 107 kg. The estimated uncertainty in the result is...
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Consider a particle in the first excited state of an infinite square well of width L. This particle has wavefunction
(found in image )
for −L/2 ≤ x ≤ L/2, and ψ2(x) = 0 elsewhere.
-
a) What is the value of the energy of this particle, E2?
-
b) What is the probability density function, ρ, for this particle?
-
c) At what values of x does the probability density vanish?
-
d) What is the probability of finding this particle in the interval 0 ≤ x ≤ L/8?
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