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Electron localization in a hard sphere fluid

机译:Electron localization in a hard sphere fluid

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Presented in this paper is a derivation of the resummed density expansion of the Green function for the motion of a single electron in a hard sphere bath. The Green function is constructed by averaging the electron quantum dynamics obtained for a fixed configuration of the hard spheres over all possible configurations of the hard spheres and initial positions of the electron. The electron bath interactions are treated perturbatively through threehyphen;body events. It is shown that the bath dissipates the electron energy much the way a bath impedes tunneling in a twohyphen;level harmonic quantum system. Furthermore, it is demonstrated from the long time limit of the electron return amplitude that atT=0, the electron is localized above the fluid density rgr;sgr;3= (4)/(3) pgr;minus;1, sgr; the hard sphere diameter. Dissipation of the electron energy by the bath produces localization.

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