We consider a class of Schrodinger equations with a symmetric double-well potential and an external, both repulsive and attractive, nonlinear perturbation. We show that, under certain conditions and in the limit of large barrier between the two wells, the reduction of the time-dependent equation to a two-mode equation gives the dominant term of the solution with a precise estimate of the error.

Nonlinear time-dependent Schrodinger equations: the Gross-Pitaevskii equation with double-well potential / Sacchetti, Andrea. - In: JOURNAL OF EVOLUTION EQUATIONS. - ISSN 1424-3199. - STAMPA. - 4(2004), pp. 345-369.

Nonlinear time-dependent Schrodinger equations: the Gross-Pitaevskii equation with double-well potential

SACCHETTI, Andrea
2004

Abstract

We consider a class of Schrodinger equations with a symmetric double-well potential and an external, both repulsive and attractive, nonlinear perturbation. We show that, under certain conditions and in the limit of large barrier between the two wells, the reduction of the time-dependent equation to a two-mode equation gives the dominant term of the solution with a precise estimate of the error.
4
345
369
Nonlinear time-dependent Schrodinger equations: the Gross-Pitaevskii equation with double-well potential / Sacchetti, Andrea. - In: JOURNAL OF EVOLUTION EQUATIONS. - ISSN 1424-3199. - STAMPA. - 4(2004), pp. 345-369.
Sacchetti, Andrea
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11380/304075
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