3 papers
math-ph2026
Numerical study of solitary waves in Dirac--Klein--Gordon system
Andrew Comech, Julien Ricaud, Marco Roque
We use numerics to construct solitary waves in Dirac--Klein--Gordon (in one and three spatial dimensions) and study the dependence of energy and charge o…
math-ph2025
On gap properties for the linearized 1D Dirac--Soler model
Danko Aldunate, Julien Ricaud, Edgardo Stockmeyer
We study spectral properties of the Dirac operator obtained by linearizing the one-dimensional Soler model around standing waves with power nonlinearity $f(s)=s|s|^{p-1}, \,…
math-ph2023
Stabilization against collapse of 2D attractive Bose-Einstein condensates with repulsive, three-body interactions
Dinh-Thi Nguyen, Julien Ricaud
We consider a trapped Bose gas of identical bosons in two dimensional space with both an attractive, two-body, scaled interaction and a repulsive, three-body, scaled interactio…