So consider the one-dimensional time-independent Schrodinger equation:
In some ways it's not really an equation as such, because you have to plug in some function V(x) that describes the potential in the problem you're solving. When you first learn quantum mechanics you'll learn the big ones: V(x) = 0, V(x) = V > E, V(x) = 1/2 kx^2, V(x) = k/x, etc. One that's conspicuously absent is usually…