The normalized solution to the Schrodinger equation for a particular potential is ψ = 0 for x <0, and Ψ(x)=(2/a^{3/2}) x exp(-ax) for x>=0. What is the probability of finding a particle at this potential between x = a - 0.027a and x = a + 0.027a?

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Chapter7: Quantum Mechanics
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Problem 79AP: A particle of mass m is confined to a box of width L. If the particle is in the first excited state,...
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The normalized solution to the Schrodinger equation for a particular potential is ψ = 0 for x <0, and Ψ(x)=(2/a^{3/2}) x exp(-ax) for x>=0. What is the probability of finding a particle at this potential between x = a - 0.027a and x = a + 0.027a?

a) 4,7%
b)4,1%
c)1,5%
d)2,9%
e)2,0%

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