Effective Mass Theorems for Nonlinear Schrödinger Equations
نویسندگان
چکیده
منابع مشابه
Effective Mass Theorems for Nonlinear Schrödinger Equations
We consider time-dependent nonlinear Schrödinger equations subject to smooth, lattice-periodic potentials plus additional confining potentials, slowly varying on the lattice scale. After an appropriate scaling we study the homogenization limit for vanishing lattice spacing. Assuming well prepared initial data, the resulting effective dynamics is governed by a homogenized nonlinear Schrödinger e...
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ژورنال
عنوان ژورنال: SIAM Journal on Applied Mathematics
سال: 2006
ISSN: 0036-1399,1095-712X
DOI: 10.1137/050623759