Editing Bogoliubov transformation (section)

===Applications===
The most prominent application is by [[Nikolai Bogoliubov]] himself in the context of [[superfluidity]].<ref>N. N. Bogoliubov: ''On the theory of superfluidity'', J. Phys. (USSR), 11, p. 23 (1947), (Izv. Akad. Nauk Ser. Fiz. 11, p. 77 (1947)).</ref><ref>{{cite web |last1=Bogolubov [sic] |first1=N. |title=On the theory of Superfluidity |url=http://ufn.ru/pdf/jphysussr/1947/11_1/3jphysussr19471101.pdf |website=Advances of Physical Sciences |publisher=Lebedev Physical Institute |access-date=27 April 2017}}</ref> Other applications comprise [[Hamiltonian (quantum mechanics)|Hamiltonians]] and excitations in the theory of [[antiferromagnetism]].<ref name="Kittel">See e.g. the textbook by [[Charles Kittel]]: ''Quantum theory of solids'', New York, Wiley 1987.</ref> When calculating quantum field theory in curved spacetimes the definition of the vacuum changes, and a Bogoliubov transformation between these different vacua is possible. This is used in the derivation of [[Hawking radiation]]. Bogoliubov transforms are also used extensively in quantum optics, particularly when working with gaussian unitaries (such as beamsplitters, phase shifters, and squeezing operations).