What is it about?
This study deals with the important scattering approximation called the Born approximation, which is widely applied for problems met in solid-state physics and chemistry. Its time-dependent counterpart is the Fermi's golden rule. The paper shows the single-particle relaxation time, an important many-body property of the quasi-particles, electrons in our case, can be computed exactly by means of Calogero's variable phase method (VPM) when the inter-particle potential for electron-impurity interaction is assumed to be of Thomas-Fermi form.
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Why is it important?
This work is important as it clearly shows where the first Born approximation holds for the material parameters under scrutiny. Indeed the variable phase method provides a criterion for the validity of the Born approximation, requiring that the scattering phase shifts be smaller then Pi over 2, and more generally smaller than unity
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This page is a summary of: Single-particle relaxation time in doped semiconductors beyond the Born approximation, Journal of Applied Physics, July 2019, American Institute of Physics, DOI: 10.1063/1.5081631.
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