PT Journal AU Blanes, S Casas, F Oteo, JA Ros, J TI A pedagogical approach to the Magnus expansion SO European Journal of Physics JI Eur. J. Phys. PY 2010 BP 907 EP 918 VL 31 IS 4 DI 10.1088/0143-0807/31/4/020 LA English AB Time-dependent perturbation theory as a tool to compute approximate solutions of the Schrodinger equation does not preserve unitarity. Here we present, in a simple way, how the Magnus expansion (also known as exponential perturbation theory) provides such unitary approximate solutions. The purpose is to illustrate the importance and consequences of such a property. We suggest that the Magnus expansion may be introduced to students in advanced courses of quantum mechanics. ER