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 Schr\"odinger'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" $\frac{\mathrm{hc}}{e}$, the M.T.G. becomes isomorphic to the usual translation group.
Keywords
Bravais latticeIrreducible representationPhysicsAbelian groupGroup (periodic table)Magnetic fieldLattice (music)Mathematical physicsTranslation (biology)Group theoryQuantum mechanicsCombinatoricsMathematicsPure mathematicsCrystal structureCrystallography
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Publication Info
- Year
- 1964
- Type
- article
- Volume
- 134
- Issue
- 6A
- Pages
- A1607-A1611
- Citations
- 232
- Access
- Closed
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Cite This
J. Żak
(1964).
Magnetic Translation Group. II. Irreducible Representations.
Physical Review
, 134
(6A)
, A1607-A1611.
https://doi.org/10.1103/physrev.134.a1607
Identifiers
- DOI
- 10.1103/physrev.134.a1607