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i recently was reading about hawking radiation and how he overcome the lack of a theory for quantum gravity by using a mathematical trick ( to see the effect of gravity on quantum fields ) and this trick was the Bogoliubov transformation .... , i just want some one to briefly explain what is the physical meaning of it and how its being applied ( i am not very familiar with creation and annihilation operators in quantum mechanics ... i tried to search online but it was somehow complicated to understand ) , could some one explain it to me with a simpler analogy ?