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Confused about Bogoliubov transformation

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JVanUW
#1
Dec12-12, 10:35 PM
P: 23
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,

i.e

Instead of Ak and Bk

A1k
A2k

and
B1k
B2k

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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DrDu
#2
Dec13-12, 02:32 AM
Sci Advisor
P: 3,593
Maybe you can give us the expressions you obtained for A and B.


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