On the separation of resonance Raman scattering into orders in the time correlator theory

On the separation of resonance Raman scattering into orders in the time correlator theory
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时间相关器理论中共振拉曼散射的级数分离

DOI:
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发表时间:
1981
期刊:
影响因子:
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通讯作者:
D. Tonks
D. Tonks
中科院分区:
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文献类型:
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作者:
J. B. Page;D. Tonks

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在Hizhnyakov和Tehver(HT)的时间相关器公式中,对共振拉曼散射的分离进行了详细的研究。这个公式对于所有温度下的多模系统和定义明确的“标准假设”内的所有电子-声子耦合强度都是精确的。与任何拉曼理论一样,由于虚声子跃迁伴随着m真实的末态声子跃迁,完整的m-声子拉曼散射涉及到无限阶的电子-声子耦合。HT分解为几个阶可以看出对应于一个特别方便的贡献分组,这样完整的m-声子散射可以表示为一个幂级数,在电子-声子耦合的显式阶中,但级数的每一项也包含涉及电子-声子耦合的因子,隐含到无限阶。除了第一项之外,这个级数的每一项都在T→ 0时消失,结果是(明确地)m阶散射和……
A detailed study is carried out of the separation of resonance Raman scattering into orders within the time‐correlator formulation of Hizhnyakov and Tehver (HT). This formulation is exact for a multimode system at all temperatures and for all electron–phonon coupling strengths within well‐defined ’’standard assumptions.’’ As in any Raman theory, the full m‐phonon Raman scattering involves the electron–phonon coupling to infinite order, owing to virtual phonon transitions accompanying the m real final state phonon transitions. The HT separation into orders is seen to correspond to a particularly convenient grouping of the contributions, such that the full m‐phonon scattering is expressed as a power series in explicit orders of the electron–phonon coupling, but with each term of the series also containing factors involving the electron–phonon coupling implicitly to infinite order. Each term of this series except the first vanishes for T→ 0, with the result that the (explicitly) mth order scattering and the ...