Nonlinear Anderson Localized States at Arbitrary Disorder

Given an Anderson model H = - Δ + V in arbitrary dimensions, and assuming the model satisfies localization, we construct quasi-periodic in time (and localized in space) solutions for the nonlinear random Schrödinger equation i ∂ u ∂ t = - Δ u + V u + δ | u | 2 p u for small δ . Our approach combines...

Ausführliche Beschreibung

Bibliographische Detailangaben

Veröffentlicht in:	Communications in mathematical physics 2024-11, Vol.405 (11), Article 272
Hauptverfasser:	Liu, Wencai, Wang, W.-M.
Format:	Artikel
Sprache:	eng
Schlagworte:	Classical and Quantum Gravitation Complex Systems Mathematical and Computational Physics Mathematical Physics Nonlinear differential equations Parabolic differential equations Partial differential equations Physics Physics and Astronomy Quantum Physics Relativity Theory Schrodinger equation Theoretical
Online-Zugang:	Volltext
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!