(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Briefly, the question asks to prove how the interference of 2 electrons (travelling in opposite directions as 1-D waves) would affect the probability of finding each electron in free space. My issue has to do with the first step in the solution.

2. Relevant equations

[tex]\Psi_{1}[/tex] = [tex]\Psi_{0}[/tex] [tex]e^{jkx}[/tex]

[tex]\Psi_{2}[/tex] = [tex]\Psi_{0}[/tex] [tex]e^{-jkx}[/tex] (Note change in direction)

Hence the interference of these two functions will be given by their sum:

[tex]\Psi_{total}[/tex] = [tex]\Psi_{0}[/tex] [tex]e^{jkx}[/tex] [tex]\Psi_{0}[/tex] ยท [tex]e^{-jkx}[/tex] (i)

[tex]\Psi_{total}[/tex] = 2[tex]\Psi_{0}[/tex] cos (kx) (ii)

3. The attempt at a solution

I just don't understand how to get (ii) from (i)... thanks for looking!

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# Homework Help: Simple exponential multiplication (electron interfernce)

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