Stability of spectral eigenspaces in nonlinear Schrodinger equations
Mathematical Physics
2007-05-23 v1 Analysis of PDEs
math.MP
Abstract
We consider the time-dependent non linear Schrodinger equations with a double well potential in dimensions d =1 and d=2. 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.
Cite
@article{arxiv.math-ph/0608010,
title = {Stability of spectral eigenspaces in nonlinear Schrodinger equations},
author = {Dario Bambusi and Andrea Sacchetti},
journal= {arXiv preprint arXiv:math-ph/0608010},
year = {2007}
}