# Geometric methods for nonlinear many-body quantum systems

@article{Lewin2011GeometricMF, title={Geometric methods for nonlinear many-body quantum systems}, author={M. Lewin}, journal={Journal of Functional Analysis}, year={2011}, volume={260}, pages={3535-3595} }

Abstract Geometric techniques have played an important role in the seventies, for the study of the spectrum of many-body Schrodinger operators. In this paper we provide a formalism which also allows to study nonlinear systems. We start by defining a weak topology on many-body states, which appropriately describes the physical behavior of the system in the case of lack of compactness, that is when some particles are lost at infinity. We provide several important properties of this topology and… CONTINUE READING

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