During an interference experiment two probability waves interfere

Nov 2019
2
0
USA
Ψ1(x) = A*e^(i(k+b)x), Ψ2(x)=B*e^(i(kx+α))
The constants A,B,k and α are real.

1.What is the probability density for the resulting wave?

2. If we measure the wave at a detector that is placed in x=10, what happens if we move the detector assuming b=0?

3. What happens if we move the detector assuming b=1?

Thanks!
 

topsquark

Forum Staff
Apr 2008
2,978
631
On the dance floor, baby!
I'll start you off:
1. Define \(\displaystyle \Psi = \psi _1 + \psi _2\). Then the density function is \(\displaystyle \Psi ^* \Psi = ( \psi _1 + \psi _2)^* ( \psi _1 + \psi _2 )\). You have to renormalize it, of course.

What are your thoughts on the rest?

-Dan