Theory and computation of electromagnetic transition matrix elements in the continuous spectrum of atoms
Theory and computation of electromagnetic transition matrix elements in the continuous spectrum of atoms
复制标题
原子连续谱中电磁跃迁矩阵元的理论与计算
DOI：
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发表时间：
2014
期刊：
影响因子：
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通讯作者：
C. Nicolaides
中科院分区：
文献类型：
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作者：
Y. Komninos;T. Mercouris;C. Nicolaides
本文研究了多极哈密顿算符OE（κ, r′）的自由-自由（f−f）矩阵元素的数学性质。κ是光子波数。在一般情况下，散射波函数在项相关（N−1）电子核的势中进行数值计算，并进行能量归一化。发现OE（κ, r′）的f−f矩阵元素在能量轴上具有一阶奇异性，即当ε′→ε时，它们表现为（ε−ε′）-1。数值应用于氢和氖的f−f跃迁，服从电偶极子和四极子选择规则。在极限κ = 0时，OE（κ, r′）简化为电偶极子近似（EDA）的长度形式。除了在点k′= k处存在k′= k±κ的波数区域外，EDA的结果与OE（κ, r′）的结果基本一致。
The present study examines the mathematical properties of the free-free (f − f) matrix elements of the full electric field operator, OE(κ, r̅), of the multipolar Hamiltonian. κ is the photon wavenumber. Special methods are developed and applied for their computation, for the general case where the scattering wavefunctions are calculated numerically in the potential of the term-dependent (N − 1) electron core, and are energy-normalized. It is found that, on the energy axis, the f − f matrix elements of OE(κ, r̅) have singularities of first order, i.e., as ε′ → ε, they behave as (ε − ε′)-1. The numerical applications are for f − f transitions in hydrogen and neon, obeying electric dipole and quadrupole selection rules. In the limit κ = 0, OE(κ, r̅) reduces to the length form of the electric dipole approximation (EDA). It is found that the results for the EDA agree with those of OE(κ, r̅), with the exception of a wave-number region k′ = k ± κ about the point k′ = k.
影响因子：
56.9
作者：
Schultze, M.;Fiess, M.;Yakovlev, V. S.
通讯作者：
Yakovlev, V. S.