CHINESE JOURNAL OF PHYSICS VOL. 39, NO. 6 DECEMBER 2001
We demonstrate that the proper way of discussing translation invariance in the problem of a free electron in a constant magnetic field is through the magnetic translation group. Phases occurring in different energy eigenfunctions due to the magnetic translations are studied, and how the magnetic translation operators transform the energy eigenstates within the same Landau level is worked out.
PACS. 03.65.-w - Quantum mechanics.
PACS. 03.65.Vf - Phases: geometric; dynamic or topological.