As I understand it, a lot of what is taught about quantum mechanics are special techniques for solving problems. I'm not a physicist, so something like perturbation theory is not what I'm after. To be more specific, i would like to know the minimum that is necessary for "doing" quantum mechanics, regardless of how inefficient it would be to apply these minimal techniques to complex problems (because as a non-physicist I will never have to work out a complex problem). What I have learned so far is that the Schrodinger equation is not enough because it does not take spin into account. I think the Schrodinger-Pauli and Dirac equations do. Are there any other equations I should look up? Are knowing the equations and how to apply Hamiltonians all that is really necessary for working out any QM problem (regardless of how time-consuming it would be)?