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• W2079333189 abstract "We study the limiting behavior of a Schrödinger–Poisson system describing a three-dimensional quantum gas that is confined along the vertical z-direction in a fine slab. The starting point is the three-dimensional Schrödinger–Poisson system with Dirichlet conditions on two horizontal planes z = 0 and z = ε, where the small parameter ε is the scale width of the slab. The limit ε → 0 appears to be an infinite system of two-dimensional nonlinear Schrödinger equations. Our strategy combines a refined analysis of the Poisson kernel acting on strongly confined densities and a time-averaging process that allows us to deal with the fast time oscillations." @default.
• W2079333189 created "2016-06-24" @default.
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• W2079333189 date "2011-07-01" @default.
• W2079333189 modified "2023-10-02" @default.
• W2079333189 title "AN ASYMPTOTIC MODEL FOR THE TRANSPORT OF AN ELECTRON GAS IN A SLAB" @default.
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• W2079333189 doi "https://doi.org/10.1142/s0218202511005453" @default.
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