The cubic NLS on the line with an inverse square potential

Krieger, JoachimSchlag, WilhelmWidmayer, Klaus2025-08-082025-08-082025-08-072025-08-03https://infoscience.epfl.ch/handle/20.500.14299/252858arXiv:2508.01919We establish modified scattering for solutions of the cubic NLS on the line with a repulsive inverse square potential and small localized data. The method is based on a comparison between the free and distorted Galilei vector fields and a wave packet transform.enThe cubic NLS on the line with an inverse square potentialtext::preprint