We consider the time-dependent non linear Schrödinger equations with a double well potential. We prove, in the semiclassical limit, that the finite dimensional eigenspace associated to the lowest two eigenvalues of the linear operator is almost invariant for any time.
Stability of spectral eigenspaces in nonlinear Schrödinger equations / D. Bambusi, A. Sacchetti. - In: DYNAMICS OF PARTIAL DIFFERENTIAL EQUATIONS. - ISSN 1548-159X. - 4:2(2007), pp. 129-141. [10.4310/DPDE.2007.v4.n2.a2]
Stability of spectral eigenspaces in nonlinear Schrödinger equations
D. BambusiPrimo
;
2007
Abstract
We consider the time-dependent non linear Schrödinger equations with a double well potential. We prove, in the semiclassical limit, that the finite dimensional eigenspace associated to the lowest two eigenvalues of the linear operator is almost invariant for any time.
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