• 作者： 喻紹發 ; 鄭秀瑤
• 作者服務機構： 東海大學化學系
• 中文摘要： The two-root (i,j,k) generalized Pade approximation(GPA) and three-root (i,j,k,l) GPA as well as the two-root continued fraction approximation (CFA) and the three root CFA are applied to the model of a three-state avoided crossing. These two procedures for analytic continuation are compared. The results indicate that both methods provide good continuation into the complex plane and can be applied to locate the complex branch point. When the same input data are chosen, the GPA works slightly better than the CFA. According to our analysis, the two-root procedure can be applied to locate the branch point around each region of avoided crossing in the problem of a multi-state avoided crossing. The accuracy of the result is found to be associated the location of complex branch point.
• 英文摘要： --
• 中文關鍵字： Avoided Crossing; Branch Point; Analytic Continuation Method; Generalized Pade Approximation; Continued Fraction Approximation; Stabilization Method
• 英文關鍵字： 避免交錯；分支點；分析連續方法；廣義逼近法；連續分率逼近法；穩定法