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If you have a particle in 1D bound within range "-a" and "a". You come up with one eigenfunction that is sinusoidal (since it satisfies the problem).

Now, you get all the necessary constants through the usual way...

I want to know whether more than one eigenfunction can be produced and how? Because in the end I need to show that these eigenfunctions are orthogonal.

2)

If your given an eigenfunction say: psi = b(a - |x|)

what does it mean by "expanding psi in eigenstates of momentum".

Please note these are Intro questions to QM and I cannot read/understand DIRAC notation or any other type of that nature just yet.

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# Eigenfunctions (orthogonality & expansion)

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