实或复转折点对附近非绝热跃迁的统一渐近方法
A unifying asymptotic approach for nonadiabatic transitions near pairs of real or complex turning points
摘要：
研究了一类具有非自伴哈密顿量的Schroedinger型方程在两个封闭退化（转向）点情形下的渐近解。无论是真正的和复杂的退化点处理的方法匹配的渐近展开的上下文中的统一的方法。构造了包含抛物柱面函数的退化点附近的渐近展开式，导出了退化点前后绝热模系数的过渡矩阵。还提供了一个简单的非技术配方，使人们能够将结果应用于不同的物理问题，而无需执行中间计算。
英文摘要：
An asymptotic approach for a Schroedinger type equation with non selfadjoint Hamiltonian of a special type in the case of two close degeneracy (turning) points is developed. Both real and complex degeneracy points are treated by a method of matched asymptotic expansions in the context of a unifying approach. An asymptotic expansion near degeneracy point containing the parabolic cylinder functions is constructed and the transition matrix connecting the coefficients of adiabatic modes in front of and behind the degeneracy point is derived. A simple non-technical recipe is also provided, which enables one to apply results to different physical problems without performing intermediate calculations.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
