标题： 弱耦合和强耦合展开之间的变分插值算法 显示英文标题

标题： Variational Interpolation Algorithm between Weak- and Strong-Coupling Expansions

摘要： 对于许多物理量，理论分别提供了类型为$\sum a_n \alpha ^n$和$ \alpha ^p\sum b_n (\alpha^{-2/q) ^n$的弱耦合和强耦合展开。 这两者中的一种或两种可能具有零收敛半径。 我们提出了一种简单的插值算法，该算法随着已知展开系数数量的增加而快速收敛。 通过仅使用主导大阶系数$b_0$（除了平凡的展开系数$a_0=1/2$）来计算各向异性振子的基态能量，展示了准确性。 所有 g 的误差都小于 0.5。 该算法用于寻找 Fröhlich-Feynman 极化子的能量和质量。 我们的质量与 Feynman 的变分方法得出的结果有很大不同。 显示英文摘要

摘要： For many physical quantities, theory supplies weak- and strong-coupling expansions of the types $\sum a_n \alpha ^n$ and $ \alpha ^p\sum b_n (\alpha^{-2/q) ^n$, respectively. Either or both of these may have a zero radius of convergence. We present a simple interpolation algorithm which rapidly converges for an increasing number of known expansion coefficients. The accuracy is illustrated by calculating the ground state energies of the anharmonic oscillator using only the leading large-order coefficient $b_0$ (apart from the trivial expansion coefficent $a_0=1/2$). The errors are less than 0.5 for all g. The algorithm is applied to find energy and mass of the Fr\"ohlich-Feynman polaron. Our mass is quite different from Feynman's variational approach.