Web Reference: This is another video solution to one of iPREP's Math Problems. Continue practicing on:...more After all, the development of quantum mechanics and functional analysis are intimately related. Consider then the hydrogen atom and its “spectrum”: we know it has bound states of negative energy and scattering states of positive energy. Given a function f : D → R and a subset B ⊆ R, let f−1(B) be the set of all points from the domain D that get mapped into B; that is, f−1(B) = {x ∈ D : f(x) ∈ B}.
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