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Hi Forum, I am trying to follow the math in Bell's original paper, and I am getting tripped up on equation (14). Does anyone know the mathematic legerdemain Bell used to go from the first equation below to the 2nd?
[itex]
\begin{align}
P(\vec{a},\vec{b})-P(\vec{a},\vec{c})=-\int{d\lambda\rho(\lambda)[A(\vec{a},\lambda)A(\vec{b},\lambda)-A(\vec{a},\lambda)A(\vec{c},\lambda)]}
\\
=\int{d\lambda\rho(\lambda)A(\vec{a},\lambda)A(\vec{b},\lambda)[A(\vec{b},\lambda)A(\vec{c},\lambda)-1]}
\end{align}
[/itex]
Here is a link to the original paper:
http://www.drchinese.com/David/Bell.pdf
I hope I am not missing something trivial, but thanks for you help!
[itex]
\begin{align}
P(\vec{a},\vec{b})-P(\vec{a},\vec{c})=-\int{d\lambda\rho(\lambda)[A(\vec{a},\lambda)A(\vec{b},\lambda)-A(\vec{a},\lambda)A(\vec{c},\lambda)]}
\\
=\int{d\lambda\rho(\lambda)A(\vec{a},\lambda)A(\vec{b},\lambda)[A(\vec{b},\lambda)A(\vec{c},\lambda)-1]}
\end{align}
[/itex]
Here is a link to the original paper:
http://www.drchinese.com/David/Bell.pdf
I hope I am not missing something trivial, but thanks for you help!