1 Wavefunctions and the Schr¨odinger equation

The time evolution of particles in quantum mechanics is governed by the

Schr¨odinger equation, which we will come to shortly. In general, this is a

difficult equation to solve, and there aren’t many interesting cases where we are

able to provide a full solution.

Hence, to begin with, we will concentrate on quantum mechanics in one

(spatial) dimension only, as the maths is much simpler and diagrams are easier

to draw, and we can focus more on the physical content.