Padé插值在stationary state问题中的应用
Application of Padé interpolation to stationary state problems
摘要：
如果一个物理系统的小耦合和大耦合行为可以微扰计算，并分别表示为耦合参数$g$和$1/g$的幂级数，则包含这两个级数的Padé近似可以在这两个极限之间插值，并在通常难以处理的中间耦合状态下提供系统行为的准确估计。通过考虑量子力学中的几个定态问题，说明了这种方法的有效性。
英文摘要：
If the small and large coupling behavior of a physical system can be computed perturbatively and expressed respectively as power series in a coupling parameter $g$ and $1/g$, a Padé approximant embracing the two series can interpolate between these two limits and provide an accurate estimate of the system's behavior in the generally intractable intermediate coupling regime. The methodology and validity of this approach are illustrated by considering several stationary state problems in quantum mechanics.
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