Abstract
The physical irreducible representations of the magnetic translation group (M.T.G.) defined previously have been found. From these a set of solutions of Schrödinger's equation for a Bloch electron in a magnetic field has been constructed. In general the M.T.G. is non-Abelian. However, when the magnetic flux through areas enclosed by any vectors of the Bravais lattice become multiples of an elementary "fluxon" , the M.T.G. becomes isomorphic to the usual translation group.
- Received 13 January 1964
DOI:https://doi.org/10.1103/PhysRev.134.A1607
©1964 American Physical Society