In this paper a group-theoretical approach to the problem of a Bloch electron in a magnetic field is given. A magnetic translation group is defined and its properties, in particular its connection with the usual translation group, are established.

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J. Żak (Mon,) studied this question.

synapsesocial.com/papers/6a0fefeb4fb650da4ffeb24b https://doi.org/https://doi.org/10.1103/physrev.134.a1602

Also Consider

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

1Über die Energieentartung der Gitterelektronen im Magnetfeld1963 · 33 citations
2The General Motion of Conduction Electrons in a Uniform Magnetic Field, with Application to the Diamagnetism of Metals1955 · 236 citations
3Single Band Motion of Conduction Electrons in a Uniform Magnetic Field1955 · 1,411 citations
4Decoupling of Bloch Bands in the Presence of Homogeneous Fields1962 · 73 citations
5Bloch Electrons in a Uniform Magnetic Field1964 · 426 citations

Also Consider

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

1Über die Energieentartung der Gitterelektronen im Magnetfeld1963 · 33 citations
2The General Motion of Conduction Electrons in a Uniform Magnetic Field, with Application to the Diamagnetism of Metals1955 · 236 citations
3Single Band Motion of Conduction Electrons in a Uniform Magnetic Field1955 · 1,411 citations
4Decoupling of Bloch Bands in the Presence of Homogeneous Fields1962 · 73 citations
5Bloch Electrons in a Uniform Magnetic Field1964 · 426 citations