Summary
We consider a class of Schrödinger equations with a symmetric double-well potential and a nonlinear perturbation. We show that, under certain conditions, 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.
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Sacchetti, A. (2004). Nonlinear Time-dependent Schrödinger Equations with Double-Well Potential. In: Blanchard, P., Dell’Antonio, G. (eds) Multiscale Methods in Quantum Mechanics. Trends in Mathematics. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-0-8176-8202-6_13
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DOI: https://doi.org/10.1007/978-0-8176-8202-6_13
Publisher Name: Birkhäuser, Boston, MA
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