Variational and topological methods for the study of nonlinear models from relativistic quantum mechanics.
type: Dataset
description: This thesis is devoted to the study of nonlinear models from relativistic quantum mechanics.In the first part, we show thanks to a shooting method, the existence of infinitely many solutions of nonlinear Dirac equations of two models from the physics of hadrons and the physics of the nucleus.In the second part, we prove thanks to variational methods the existence of a ground state and excited states for two models of the physics of hadrons. Next, we study the phase transition which links the models thanks to the Γ-convergence.The last part is devoted to the study of another model from the physics of hadrons in which the wave functions are perfectly confined. We give some preliminary results.
landing page: https://theses.hal.science/tel-00908953
identifier: NNT: 2013PA090012
keyword: analyse-non-lineaire
keyword: concentration-compactness-principle
keyword: dirac-operator
keyword: infoeu-reposemanticsdoctoralthesis
keyword: mathematical-physics
keyword: mathmath-gmmathematics-mathgeneral-mathematics-mathgm
keyword: mecanique-quantique-relativiste
keyword: methode-de-tir
keyword: methodes-variationnelles
keyword: nonlinear-analysis
keyword: operateur-de-dirac
keyword: phase-transition
keyword: physics-of-the-hadrons
keyword: physics-of-the-nucleus
keyword: physique-des-hadrons
keyword: physique-des-noyaux
keyword: physique-mathematique
keyword: principe-de-concentration-compacite
keyword: relativistic-quantum-mechanics
keyword: shooting-method
keyword: theses
keyword: transition-de-phase
keyword: variational-methods
issued: 2026-05-08T02:21:19.147587
modified: 2026-05-08T02:21:19.147594
language: en
contact point: Organization
  fn: CCSD

test_moissonnage_selune
type: Agent

Variational and topological methods for the study of nonlinear models from relativistic quantum mechanics.
type: Distribution
format: HTML
access URL: https://theses.hal.science/tel-00908953
issued: 2026-05-08T02:21:19.175581
modified: 2026-05-08T02:21:19.116807