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I have to give a presentation on Bogoliubov transformations to my undergrad solid state physics class. The presentation is only supposed to be 15ish minutes long, and defining them alone will take a few minutes. Because of the time constraint, I was wondering if anyone knew of a simple example/topic to discuss on superfluidity, to draw a connection between the math and hinting at some phenomenology, justifying the math. I don't really want to break out the hamiltonian formalism for too long or anything, and maybe th dispersion relation may also be too formal. I don't think it would be too enlighting or instructive. Something I can sort of get at that is kinda simple

Thanks