Given a particle is confined to a 1D infinite potential well from -a/2 < x

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Given a particle is confined to a 1D infinite potential well from -a/2 < x < a/2, prove that the
wavefunction solution to the Schrodinger equation has form:
XTU
α
= Bcos (2n + 1)
1)
Pn(x) =
inside the potential well, where n is any integer.
Transcribed Image Text:Given a particle is confined to a 1D infinite potential well from -a/2 < x < a/2, prove that the wavefunction solution to the Schrodinger equation has form: XTU α = Bcos (2n + 1) 1) Pn(x) = inside the potential well, where n is any integer.
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