BIRS Workshop Lecture Videos

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BIRS Workshop Lecture Videos

Nonlinear Quantum Adiabatic Approximation Joye, Alain


We consider the adiabatic limit of a nonlinear Schrödinger equation in which the Hamiltonian depends on time and on a finite number of components of the wave function. We show the existence of instantaneous nonlinear eigenvectors and of solutions which remain close those, up to a rapidly oscillating phase in the adiabatic regime. Consequences on the energy content of the solutions are spelled out. $$ $$ This is joint work with Clotilde Fermanian

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