Genericity of interactions with potentials being Morse functions

Shunsaku Nii

doi:10.1016/j.geomphys.2018.03.013

Genericity of interactions with potentials being Morse functions

Shunsaku Nii

Department of Mathematics

Research output: Contribution to journal › Article

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 language	English
Pages (from-to)	233-237
Number of pages	5
Journal	Journal of Geometry and Physics
Volume	129
DOIs	https://doi.org/10.1016/j.geomphys.2018.03.013
Publication status	Published - Jul 1 2018

All Science Journal Classification (ASJC) codes

Mathematical Physics
Physics and Astronomy(all)
Geometry and Topology

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10.1016/j.geomphys.2018.03.013

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Nii, S. (2018). Genericity of interactions with potentials being Morse functions. Journal of Geometry and Physics, 129, 233-237. https://doi.org/10.1016/j.geomphys.2018.03.013

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