作为量子映射的束缚和散射分子里德伯态的统一理论
Unified theory of bound and scattering molecular Rydberg states as quantum maps
摘要：
使用表示的多通道量子亏损理论的量子庞加莱映射绑定里德伯分子，我们应用荣格的散射映射，推导出一个广义的量子映射，其中包括连续。我们表明，这种表示不仅简化了理解的方法，而且产生相当大的数值优势。最后，我们表明在什么情况下，通常的半经典近似产生满意的结果。特别是我们看到，在半经典中引起问题的奇点与量子映射无关。
英文摘要：
Using a representation of multichannel quantum defect theory in terms of a quantum Poincaré map for bound Rydberg molecules, we apply Jung's scattering map to derive a generalized quantum map, that includes the continuum. We show, that this representation not only simplifies the understanding of the method, but moreover produces considerable numerical advantages. Finally we show under what circumstances the usual semi-classical approximations yield satisfactory results. In particular we see that singularities that cause problems in semi-classics are irrelevant to the quantum map.
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。
