On the Essential Spectrum of Three-Particle Discrete Schrödinger Operators with Short-Range Potentials

On the Essential Spectrum of Three-Particle Discrete Schrödinger Operators with Short-Range Potentials

We investigate a family of Schrödinger operators , associated with a system of three quantum particles on the -dimensional lattice interacting via short-range pair potentials. It’s shown that the essential spectrum of the three-particle discrete Schrödinger operator , consists of a finitely many bou...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Lobachevskii journal of mathematics 2021-06, Vol.42 (6), p.1304-1316
Hauptverfasser: Muminov, Z. E., Lakaev, Sh. S., Aliev, N. M.
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Analysis
Geometry
Mathematical Logic and Foundations
Mathematics
Mathematics and Statistics
Operators (mathematics)
Probability Theory and Stochastic Processes
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:We investigate a family of Schrödinger operators , associated with a system of three quantum particles on the -dimensional lattice interacting via short-range pair potentials. It’s shown that the essential spectrum of the three-particle discrete Schrödinger operator , consists of a finitely many bounded closed intervals.
ISSN:1995-0802
1818-9962
DOI:10.1134/S1995080221060196