Cocycles, phases and magnetic translations

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Abstract

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.

Original languageEnglish
Pages (from-to)545-554
Number of pages10
JournalChinese Journal of Physics
Volume39
Issue number6
Publication statusPublished - 2001

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ASJC Scopus subject areas

  • Physics and Astronomy(all)

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