How can I take the inner product between a position eigenstate and a ket?

[rushton_19]

Hi, I have to derive the ket |\phi> that corresponds to the wavefunction \phi(x). I've done this out with the information given to point where I've gotten:

|\phi> = \alpha|0> + \beta|2>

How can I go further in evaluating this?

 

[strangerep]

Hi, I have to derive the ket |\phi> that corresponds to the wavefunction \phi(x).
I've done this out with the information given to point where I've gotten:

<br /> |\phi \rangle ~=~ \alpha |0 \rangle ~+~ \beta |2\rangle<br />

How can I go further in evaluating this?

You might have got more replies if you said what |0> and |2> are.

As it is, I can only suggest this:

<br /> \phi(x) ~=~ \langle x | \phi \rangle<br />

and hope that you know how to take the inner product between
a position eigenstate <x| and |2>, whatever that is.