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I'm an undergrad that has not taken quantum mechanics... What exactly is the distinction between quantum mechanics and quantum field theory? Does quantum mechanics describe the interactions of particles? Are Feynman diagrams used in quantum mechanics?

I have been doing some reading over the internet and everything is starting to blur together... Also, if anyone can explain why Lie Algebra is used, that would be much appreciated...and why we need the Pauli matrices to form an orthogonal basis (why orthogonal?) in Hilbert Space (why not Euclidean?)

Thanks...