- #1

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## Homework Statement

## Homework Equations

## The Attempt at a Solution

I did Fourier transform directly to the eigenvalue equation and got

Psi(p)=a*Psi(0)/(p^2/2m-E)

But the rest, I don't even know where to start.

Any opinion guys?

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- Thread starter Helloaksdoq
- Start date

- #1

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I did Fourier transform directly to the eigenvalue equation and got

Psi(p)=a*Psi(0)/(p^2/2m-E)

But the rest, I don't even know where to start.

Any opinion guys?

- #2

- 205

- 16

Hi. What you got so far seems right.

Now i can't think of any easy "trick" to show the uniqueness of E in this representation, so i would suggest you work on how to enforce:

<φ_{E}(p)|φ_{E'}(p)> = δ(E–E')

I suppose you can look up the integral; given the result you should see:

1 - how E needs to be positive

2 - how E must be = E' (i.e.: E is unique)

That's a start...

Now i can't think of any easy "trick" to show the uniqueness of E in this representation, so i would suggest you work on how to enforce:

<φ

I suppose you can look up the integral; given the result you should see:

1 - how E needs to be positive

2 - how E must be = E' (i.e.: E is unique)

That's a start...

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