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A particle in an infinite potential well is known to be in either the n=2 or n=3 eigenstates. The eigenfunctions of these states are: F(x)=Asin(2(pi)x/a) and G(x)=Asin(3(pi)x/a) a)Using a linear combination write a wavefunction for the system, You will need to normalized the final wavefunction.
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