连续态的积分关系变分描述
Variational description of continuum states in terms of integral relations
摘要：
从Kohn变分原理（KVP）导出的两个积分关系式被用来描述散射态。在通常的应用中，KVP需要散射波函数的渐近行为的显式形式。当应用积分关系时，情况并非如此，因为由于它们的短程性质，散射波函数$Ψ$的唯一条件是它是内部区域中的$(H-E)Ψ=0$的解。几个例子进行了分析，从束缚态类型的波函数的相移的计算，或在带电粒子的散射的情况下，它是可能的，以获得相移使用自由渐近条件。作为最后一个例子，我们讨论的情况下，超球绝热方法的积分关系的使用。
英文摘要：
Two integral relations derived from the Kohn Variational Principle (KVP) are used for describing scattering states. In usual applications the KVP requires the explicit form of the asymptotic behavior of the scattering wave function. This is not the case when the integral relations are applied since, due to their short range nature, the only condition for the scattering wave function $Ψ$ is that it be the solution of $(H-E)Ψ=0$ in the internal region. Several examples are analyzed for the computation of phase-shifts from bound state type wave functions or, in the case of the scattering of charged particles, it is possible to obtain phase-shifts using free asymptotic conditions. As a final example we discuss the use of the integral relations in the case of the Hyperspherical Adiabatic method.
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