So I was told by my teacher today that I am doing the bogoliubov transformation wrong because I'm supposed to have 4 different vectors,(adsbygoogle = window.adsbygoogle || []).push({});

i.e

Instead of A_{k}and B_{k}

A_{1k}

A_{2k}

and

B_{1k}

B_{2k}

I'm wondering how this makes sense. I've seen papers with 2 different vectors and their complex counterparts but never 4 different vectors. Any help would be great.

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# Confused about Bogoliubov transformation

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