On the existence of a gap in the energy spectrum of quantum systems

W.J. Caspers, W. Magnus

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    Abstract

    A theorem on the existence of a gap in the energy spectrum of quantum systems, the exact ground state of which is known explicitly, is proved. The theorem is applied to a three-dimensional Heisenberg spin-1/2 ferromagnet, with anisotropic nearest-neighbour interactions, and to an alternating Heisenberg antiferromagnet, with nearest- and next-nearest-neighbour interactions.
    Original languageEnglish
    Pages (from-to)6395
    JournalJournal of Physics C: Solid State Physics
    Volume16
    Issue number33
    DOIs
    Publication statusPublished - 1983

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