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- W2090168757 abstract "The singularities of x-ray absorption or emission in metals are studied by a new one-body method, which describes the scattering of conduction electrons by the transient potential due to the deep hole. Using the linked-cluster theorem, the net transition rate in the time representation is expressed as the product of two factors: a one-electron transient Green's function $L$, and the deep-level Green's function $mathcal{G}$. These factors obey simple Dyson equations, which can be solved asymptotically by using Muskhelishvili's method. The x-ray transition rate is found to behave as $frac{1}{{ensuremath{epsilon}}^{ensuremath{alpha}}}$, where $ensuremath{epsilon}$ is the frequency measured from the threshold, and $ensuremath{alpha}$ an exponent involving the various phase shifts ${ensuremath{delta}}_{l}$ which describe scattering by the deep hole. $ensuremath{alpha}$ may be >0 (infinite threshold) or 0 (zero threshold). The experimental implications of these results and their relation to the Friedel sum rule are briefly discussed." @default.
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- W2090168757 date "1969-02-15" @default.
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- W2090168757 title "Singularities in the X-Ray Absorption and Emission of Metals. III. One-Body Theory Exact Solution" @default.
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- W2090168757 doi "https://doi.org/10.1103/physrev.178.1097" @default.
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