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Hi,

I was wondering if someone could help me with the following:

I have a (1+1) scalar field decomposed into two different sets of modes. One set corresponds to a Minkowski frame in (t,x) coordinates, the other to a Rinder frame in conformal (##\tau,\bar{\xi}##) coordinates. I know that I need to calculate the bogoliubov coefficients using the Klein Gordon invariante inner product

##(\phi_1,\phi_2)=i\int dx(\phi_1^*\frac{\partial{\phi_2}}{\partial{dx^0}}-\frac{\partial{\phi_1^*}}{\partial{dx^0}}\phi_2)##

How should approach this calculation in my case, where the modes are expressed in different coordinates?

I am not after an easy answer, just some guidance, so thanks in advanced. Any references I could get some furthur reading would be great too!! Anything that helps furthur my understanding of QFT.

Thanks again,

Joe.

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# QFT: Bogolyiubov transformations and KG inner product

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