1Wavefunctions and the Schrodinger equation

IB Quantum Mechanics



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.

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