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- W1978846324 abstract "A theory for light-particle diffusion in a metallic environment is developed with use of the path-integral formulation of quantum mechanics. After performing integrations over the electron degrees of freedom, the reduced density matrix for the particle is a sum over particle histories. This is in close analogy with a similar microscopic description of classical diffusion, namely, a random-walk model for which the particle distribution function can be written as a weighted sum over histories. It is shown that in the high-temperature limit, the full quantum description goes over into the classical one. The diffusion constant, however, still has a quantum origin. It is given by D=${W}^{2}$/ensuremath{gamma}, where W is a renormalized hopping amplitude, and ${ensuremath{gamma}}^{mathrm{ensuremath{-}}1}$ is a time which is shown to be the coherence time for the particle, or, in other words, the time in which the reduced density matrix is allowed to be off-diagonal. Both W and ensuremath{gamma} are temperature dependent, and the characteristic temperature dependence first derived by Kondo, Densuremath{propto}${T}^{2ensuremath{alpha}mathrm{ensuremath{-}}1}$, is obtained. The crossover to lower temperatures, where coherent hopping is possible, is briefly discussed." @default.
- W1978846324 created "2016-06-24" @default.
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- W1978846324 date "1987-04-15" @default.
- W1978846324 modified "2023-09-25" @default.
- W1978846324 title "Quantum diffusion in a metallic environment" @default.
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- W1978846324 doi "https://doi.org/10.1103/physrevb.35.6127" @default.
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