从弱耦合到强耦合的自相似外推
Self-similar extrapolation from weak to strong coupling
摘要：
这个问题的解决定义的函数，其变量趋于无穷大，从这些功能的知识在渐近小变量接近零的值。为此，外推通过不同类型的自相似逼近。提出了这种外推法的两种新的变体。这些方法通过化学物理、统计物理和量子物理的典型系统的几个例子来说明。所开发的方法，使人们有可能找到良好的近似强耦合极限的弱耦合扩展的知识。
英文摘要：
The problem is addressed of defining the values of functions, whose variables tend to infinity, from the knowledge of these functions at asymptotically small variables close to zero. For this purpose, the extrapolation by means of different types of self-similar approximants is employed. Two new variants of such an extrapolation are suggested. The methods are illustrated by several examples of systems typical of chemical physics, statistical physics, and quantum physics. The developed methods make it possible to find good approximations for the strong-coupling limits from the knowledge of the weak-coupling expansions.
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