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用基本解方法研究两个能级跃迁振幅的绝热极限干涉效应和Nikitin-Umanskii公式

Adiabatic limit interference effects for two energy level transition amplitudes and Nikitin - Umanskii formula studied by fundamental solution method

Stefan Giller

摘要:

用基本解方法研究了一类哈密顿量的两能级系统的绝热跃迁振幅,并对相应的Stokes图作了一些简化。它已被证明,对于最简单的情况下,振幅采取Nikitin-Umanskii形式,但对于更复杂的情况下,他们是由严格相关的斯托克斯图的结构对应于这种情况下的一个项的总和。本文修正了我们以前的结果[Phys.Rev.A,63052101(2001)],其结果与Joye,Mileti和Pfister [Phys.Rev.A,444280(1991)]的结果完全一致.

英文摘要:

A method of fundamental solutions has been used to study adiabatic transition amplitudes in two energy level systems for a class of Hamiltonians allowing some simplifications of Stokes graphs corresponding to such transitions. It has been shown that for simplest such cases the amplitudes take the Nikitin - Umanskii form but for more complicated ones they are formed by a sum of terms strictly related to a structure of Stokes graph corresponding to such cases. This paper corrects our previous one [Phys. Rev. A, 63 052101 (2001)] and its results are in a full agreement with the ones of Joye, Mileti and Pfister [Phys. Rev. A, 44 4280 (1991)].

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。

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