Superposing Energy Eigenstates.

1. Oct 26, 2012

cragar

1. The problem statement, all variables and given/known data
Im trying to understand what happened in this book
they have
$|I>=\frac{|1>}{\sqrt{2}}+\frac{|2>}{\sqrt{2}}$
and then $|II>=\frac{|1>}{\sqrt{2}}-\frac{|2>}{\sqrt{2}}$
and then they say they superimpose these equations to get

$|1>=\frac{|I>}{\sqrt{2}}+\frac{|II>}{\sqrt{2}}$

did they just add the first equations together and then renormalize
it to find the new coefficients.

2. Oct 26, 2012