Abstract
本文簡單地介紹了有關二維易辛模型在廣義棋盤晶格上的自發磁化強度的計算。同時本文精確地計算了二維易辛模形在內山晶格上的自發磁化強度。我們利用星－三角 轉換和裝置轉換把內山晶格轉換成 4-8晶格。我們的結果涵蓋了許多其他晶格，諸如三角晶格，四方晶格，等等。本文分四章第一章 概論第二章 自發磁化強度第三章 林-吳的廣義棋盤晶格的計算結果第四章 易辛模形在內山晶格上的自發磁化強度In this thesis, we review the calculations of the spontaneousmagnetization of Ising model on generalized checkerboardlattice. We have calculated exactly the spontaneousmagnetization of the two-dimensional Ising model on aparticular case of the Utiyama lattice. We use the star-triangle transformation and the decoration transformation totransform the original Utiyama lattice into a 4-8 lattice. Ourresult includes the square,triangular,honeycomb and 4-8lattices as special cases.