Topological theorem and its applications to condensed matter systems

D. L. Stein

    Research output: Contribution to journalArticlepeer-review


    Given a vector field defined in a volume enclosed by a boundary, it is possible to predict the total index of point singularities of the vector field within the volume if it satisfies specified conditions on the boundary. This is made precise in a mathematical theorem, and its applications to physical systems, especially nematic liquid crystals, are discussed.

    Original languageEnglish (US)
    Pages (from-to)1708-1711
    Number of pages4
    JournalPhysical Review A
    Issue number4
    StatePublished - 1979

    ASJC Scopus subject areas

    • Atomic and Molecular Physics, and Optics


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