Recently the Mobius funtion and the Mobius inverse formula are widely used insolving some physical problems, such as the inverse blackbody radiation problem, theinversion of specific heat for phonon density of states ...Recently the Mobius funtion and the Mobius inverse formula are widely used insolving some physical problems, such as the inverse blackbody radiation problem, theinversion of specific heat for phonon density of states and the inverse problems ofFermi system and ionic crystals. In this note we obtain a general and simple ex-pression of interatomic pairwise potential from square lattice cohesive energy by usingthe Mobius function and the Mobius inverse formula on a unique factorization do-main.展开更多
文摘Recently the Mobius funtion and the Mobius inverse formula are widely used insolving some physical problems, such as the inverse blackbody radiation problem, theinversion of specific heat for phonon density of states and the inverse problems ofFermi system and ionic crystals. In this note we obtain a general and simple ex-pression of interatomic pairwise potential from square lattice cohesive energy by usingthe Mobius function and the Mobius inverse formula on a unique factorization do-main.
