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 | |
| Publication status | Published - Jul 1 2018 |
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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 journal › Article
}
TY - JOUR
T1 - Genericity of interactions with potentials being Morse functions
AU - Nii, Shunsaku
PY - 2018/7/1
Y1 - 2018/7/1
N2 - 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.
AB - 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.
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UR - http://www.scopus.com/inward/citedby.url?scp=85044932158&partnerID=8YFLogxK
U2 - 10.1016/j.geomphys.2018.03.013
DO - 10.1016/j.geomphys.2018.03.013
M3 - Article
AN - SCOPUS:85044932158
VL - 129
SP - 233
EP - 237
JO - Journal of Geometry and Physics
JF - Journal of Geometry and Physics
SN - 0393-0440
ER -