Title	Nonlinear Quantum Adiabatic Approximation
Creator	Joye, Alain
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2019-08-19T17:33
Description	We consider the adiabatic limit of a nonlinear SchrÃ¶dinger 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
Extent	39.0 minutes
Subject	Mathematics; Quantum theory; Statistical mechanics, structure of matter
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Institut Fourier U. Grenoble-Alpes
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2020-02-16
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0388637
URI	http://hdl.handle.net/2429/73541
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Faculty
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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