コウオンヨウ コウセイノウ シンドウヘン ネンドケイ ノ カイハツ

科学研究費補助金（試験研究）成果の紹介（機械要素・装置・生産技術

次数依存写像法の収束条件について

We investigate convergence conditions for a special class of order dependent mappings which is well known to work for the zero dimensional and quantum mechanical(quartic) anharmonic oscillators. We estimate large order behavior of the resummed series directly and determine under what conditions the series converge or diverge. From the comparison of the present results with the previously established sufficient conditions by other authors, we clarify the origin of the each condition and of the differences between the results. To examine a controversial problem, we investgate the O-dimensional model in view of the realization of the coefficients of the strong coupling expansion.Thesis (Ph. D. in Science)--University of Tsukuba, (A), no. 2067, 1999.3.2