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

  • Thread starter rushton_19
  • Start date
In summary, the speaker is seeking assistance in evaluating the ket |\phi> that corresponds to the wavefunction \phi(x). They have already derived the ket using the given information and are now asking for further guidance. The speaker is also advised to provide more information on what |0> and |2> represent and is given a suggestion on how to proceed with evaluating the ket.
  • #1
rushton_19
7
0
Hi, I have to derive the ket |[tex]\phi[/tex]> that corresponds to the wavefunction [tex]\phi[/tex](x). I've done this out with the information given to point where I've gotten:

|[tex]\phi[/tex]> = [tex]\alpha[/tex]|0> + [tex]\beta[/tex]|2>

How can I go further in evaluating this?
 
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  • #2
rushton_19 said:
Hi, I have to derive the ket |[tex]\phi[/tex]> that corresponds to the wavefunction [tex]\phi[/tex](x).
I've done this out with the information given to point where I've gotten:

[tex]
|\phi \rangle ~=~ \alpha |0 \rangle ~+~ \beta |2\rangle
[/tex]

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:

[tex]
\phi(x) ~=~ \langle x | \phi \rangle
[/tex]

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

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

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