Open AccessAPPLICATION OF GENERALIZED MOBIUS INVERSE FOR- MULA ON PAIRWISE INTERACTION IN 3D LATTICE
Author(s) -
Qinglai Guo
Publication year - 1992
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.41.1737
Subject(s) - pairwise comparison , inverse , lattice (music) , chen , mathematics , inverse problem , computer science , combinatorics , mathematical analysis , physics , geometry , statistics , paleontology , acoustics , biology
Chen Mobius inverse formula is further generalized. This generalized formula is applied to solve the inverse problem of pairwise interaction in 3D lattice. After discussing structural characters of several typical perfect crystals, we give an algorithm based upon iterative methed with numerical examples. Stability and error of this algorithm are analyzed.