People say quantum mechanics is counter-intuitive…

…but I think, at least for me personally, that classical electrodynamics/electrostatics is just as bad.  Sure quantum has some axioms and results that at first make you say, “Wait, are you serious?”  But after a while I think I’ve come to be more comfortable with how quantum problems shape up and how answers should look.  Sure I wouldn’t have guessed that Hilbert spaces have anything to do with reality either, but now that I know they do, I find working with them to be pretty nice.  Maybe that will change when I take a quantum field theory class.

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E&M though…even “simple” problems in electrostatics…  I find that I am rarely able to anticipate how answers should look, that is, beyond the simplest symmetry and “it-should-look-like-a-point-charge-from-far-away” arguments.  I’ve been trying to expand my horizons beyond Griffiths’ E&M, and to really think hard about it, but it still gives me troubles as I study in preparation for the physics GRE.