Probabilistic interpretation of wave function

[briteliner]

Homework Statement

a particle moving in one dimension between rigid walls separated by a distance L has the wave function $$\Psi$$(x)=Asin($$\Pi$$x/L), since the particle must remain between the walls, what must be the value of A?

Homework Equations

The Attempt at a Solution

Ok so I'm thinking that since the particle has to be between x=0 and x=1, i should set the probability function = to one for these limits on the integral. I'm really confused on how to do that though

 

[G01]

What must the following integral be equal to according to the probability interpretation of the wave function?

$$\int_0^L\Psi^*\Psi dx=?$$

 

[briteliner]

1? to get psi* what do i do?

thanks

 

[gulsen]

The star means complex conjugate: replaces all $i$s with $-i$s. In your case, $\psi^* = A^* sin(\pi x / L)$, but you can take$A$ to be real, making $\psi = \psi^*$.

 

[briteliner]

okay, thanks a lot

 

[G01]

Yes, that integral is equal to 1. You now, need to evaluate that and figure out what A must be for that expression to be true.

(I have been busy today and I see I'm a little late to respond. I hope you were able to figure it out.)