A New Estimate on the Two-Dimensional Indirect Coulomb Energy

We prove a new lower bound on the indirect Coulomb energy in two-dimensional quantum mechanics in terms of the single particle density of the system. The new universal lower bound is an alternative to the Lieb–Solovej–Yngvason bound with a smaller constant, , which also involves an additive gradient...

Ausführliche Beschreibung

Gespeichert in:

Bibliographische Detailangaben
Veröffentlicht in:	Annales Henri Poincaré 2012-12, Vol.13 (8), p.1733-1744
Hauptverfasser:	Benguria, Rafael D., Gallegos, Pablo, Tušek, Matěj
Format:	Artikel
Sprache:	eng
Schlagworte:	Classical and Quantum Gravitation Dynamical Systems and Ergodic Theory Elementary Particles Exact sciences and technology Global analysis, analysis on manifolds Mathematical and Computational Physics Mathematical Methods in Physics Mathematics Other topics in mathematical methods in physics Physics Physics and Astronomy Quantum Field Theory Quantum Physics Relativity Theory Sciences and techniques of general use Theoretical Topology. Manifolds and cell complexes. Global analysis and analysis on manifolds
Online-Zugang:	Volltext
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!

Beschreibung
Zusammenfassung:	We prove a new lower bound on the indirect Coulomb energy in two-dimensional quantum mechanics in terms of the single particle density of the system. The new universal lower bound is an alternative to the Lieb–Solovej–Yngvason bound with a smaller constant, , which also involves an additive gradient energy term of the single particle density.
ISSN:	1424-0637 1424-0661
DOI:	10.1007/s00023-012-0176-x