TY - JOUR
T1 - Genericity of interactions with potentials being Morse functions
AU - Nii, Shunsaku
N1 - Funding Information:
This work was partially supported by FET -Proactive Grant Agreement TOPDRIM Number FP7-ICT-318121 and JSPS KAKENHI Grant Number JP21540221 .
PY - 2018/7
Y1 - 2018/7
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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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 -