For a particle trapped in a 1D infinite potential well, show that: where: a [ * &m (x)/n(x) dx = {i if m= n Vm 2 Yn(x) = sin (nux)

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Quantum Mechanics.

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For a particle trapped in a 1D infinite potential well, show that:
where:
a
[°* &m (x)&n(x)dx
¥n(x) =
=
a
So if m‡ n
1 if m= n
ηπ
sin (17x)
a
Transcribed Image Text:For a particle trapped in a 1D infinite potential well, show that: where: a [°* &m (x)&n(x)dx ¥n(x) = = a So if m‡ n 1 if m= n ηπ sin (17x) a
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