The conjugate of a Wave-Function

[RCulling]

I'm trying to show that the amplitude (A) of the wavefunction for a particle in a box is:

A = sqrt(2/L) : L is the length of the box.

I'm using $$\psi$$(x) = Asin ((n*pi*x) / L) as the wave equation.

To do this I'm trying to integrate the probability density function from 0 through to L with respect to x.
But to find the probability density function I need to find the conjugate of the wave function. Which I don't know how to do.
Since there is no i (its a real valued function) does that mean it is its' own conjugate?

I really have no idea and can't seem to find anything on the net.

Thanks :)

 

[fzero]

The Hermitian conjugate of a real-valued function (square-integrable) is generally the function itself.

 

[RCulling]

Ok thanks a lot :)