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- W2000765648 abstract "We present a novel scheme to calculate directly the complex resonance poles in electron-atom or electron-molecule scattering. The method is based on the many-body Green's-function formalism and the use of separable expansions of the self-energy part. It is shown that the poles are given by the complex zeros of certain determinants, which can be straightforwardly calculated using analytically determined matrix elements of the free-particle Green's function. We introduce a projection procedure which (i) leads to a simple and unified description of shape resonances as quasiparticles and (ii) is essential for the numerical feasibility of the calculations. Exploratory calculations are performed for the $^{2}mathrm{ensuremath{Sigma}}_{mathrm{u}}^{+}$ shape resonance in electron-${mathrm{H}}_{2}$ scattering in the static-exchange approximation. This resonance represents a difficult problem owing to its large width at short and intermediate internuclear distances. The fundamental difficulties which arise when using basis-set representations of the potential in the calculation of complex resonance poles are discussed." @default.
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- W2000765648 date "1986-01-01" @default.
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- W2000765648 title "Direct calculation of complex resonance poles using separable expansions of the potential: Application to the<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline><mml:mrow><mml:mmultiscripts><mml:mrow><mml:mi mathvariant=normal>Σ</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant=normal>u</mml:mi></mml:mrow><mml:mrow><mml:mo>+</mml:mo></mml:mrow><mml:mrow /><mml:mrow /><mml:mprescripts /><mml:mrow /><mml:mrow><mml:mn>2</mml:mn></mml:mrow><mml:mrow /><mml:mrow /></mml:…" @default.
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- W2000765648 doi "https://doi.org/10.1103/physreva.33.222" @default.
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