Genericity of interactions with potentials being Morse functions

Research output: Contribution to journalArticle

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 1 2018

Fingerprint

Morse Function
Genericity
Potential Function
Nearest Neighbor
Interaction
interactions

All Science Journal Classification (ASJC) codes

  • Mathematical Physics
  • Physics and Astronomy(all)
  • Geometry and Topology

Cite this

Genericity of interactions with potentials being Morse functions. / Nii, Shunsaku.

In: Journal of Geometry and Physics, Vol. 129, 01.07.2018, p. 233-237.

Research output: Contribution to journalArticle

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