Semi-classical limits of Schrödinger-Poisson systems via Wigner transforms
نویسندگان
چکیده
منابع مشابه
(Semi)classical limits of Schrödinger-Poisson systems via Wigner transforms
We deal with classical and “semiclassical limits” , i.e. vanishing Planck constant ~ ' → 0, eventually combined with a homogenization limit of a crystal lattice, of a class of "weakly nonlinear" NLS. The Schrödinger-Poisson (S-P) system for the wave functions {ψ j(t, x)} is transformed to the WignerPoisson (W-P) equation for a “phase space function” f (t, x, ξ), the Wigner function. The weak li...
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ژورنال
عنوان ژورنال: Journées équations aux dérivées partielles
سال: 2002
ISSN: 0752-0360
DOI: 10.5802/jedp.609