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? V₂(x)√2sin2πχL

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Answered: Consider a particle in the first…

College Physics

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ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

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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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