Genericity of interactions with potentials being Morse functions

    Research output: Contribution to journalArticlepeer-review

    Abstract

    Potential functions defined on a d-dimensional lattice by nearest neighbor coupling are considered. The question is whether the potential functions are Morse functions. It is shown that for generic nearest neighbor couplings the potential functions are Morse functions for any system size.

    Original languageEnglish
    Pages (from-to)233-237
    Number of pages5
    JournalJournal of Geometry and Physics
    Volume129
    DOIs
    Publication statusPublished - Jul 2018

    All Science Journal Classification (ASJC) codes

    • Mathematical Physics
    • General Physics and Astronomy
    • Geometry and Topology

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