# Homework Help: Finding the conjugate of psi

1. Sep 8, 2009

### noblegas

1. The problem statement, all variables and given/known data

Find the conjugate of

$$\varphi$$=$$exp(-x^2/x_0^2)$$
2. Relevant equations

3. The attempt at a solution

Isn't the conjugate $$\varphi$$*=$$exp(x^2/x_0^2)$$

2. Sep 8, 2009

### Dick

Not if x and x0 are real, which I suspect they are. What is it in that case?

Last edited: Sep 8, 2009
3. Sep 8, 2009

### noblegas

oh ,my solution would only be correct if x/x0 is imaginary.would my expression
$$exp(-x^2/x_0^2)$$ not change when taking its conjugate??

4. Sep 8, 2009

### Dick

Right, sort of. If x is imaginary the conjugate(exp(x))=exp(-x). If x is real then conjugate(exp(x))=exp(x). But your solution is only correct if (x/x0)^2 is purely imaginary.

5. Sep 8, 2009

### noblegas

but x/x0 is not purely imaginary , but completely real. So my expression would remain the same when taking its conjugate

6. Sep 8, 2009

Yesss.