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Geometric Optics and Instability for Semi-Classical Schrödinger Equations

✍ Scribed by Rémi Carles


Publisher
Springer
Year
2006
Tongue
English
Weight
303 KB
Volume
183
Category
Article
ISSN
0003-9527

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Semi-classical Schrödinger equations wit
✍ Rémi Carles 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 316 KB

Solutions of semi-classical Schrödinger equation with isotropic harmonic potential focus periodically in time. We study the perturbation of this equation by a nonlinear term. If the scaling of this perturbation is critical, each focus crossing is described by a nonlinear scattering operator, which i