Time-dependent metric graph: Wave dynamics

Time-dependent metric graph: Wave dynamics

We consider a metric graph under the assumption that lengths of its edges vary in time. The dynamics of waves of different nature on the graph is compared. We investigate classical waves governed by wave equation, non-relativistic quantum (Schrödinger) particles and relativistic (Dirac) particles. S...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Hauptverfasser: Popov, Anton I., Popov, Igor Y., Nikiforov, Dmitri S., Blinova, Irina V.
Format: Tagungsbericht
Sprache:eng
Schlagworte:
Graph theory
Relativism
Relativistic effects
Relativistic particles
Time dependence
Wave equations
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:We consider a metric graph under the assumption that lengths of its edges vary in time. The dynamics of waves of different nature on the graph is compared. We investigate classical waves governed by wave equation, non-relativistic quantum (Schrödinger) particles and relativistic (Dirac) particles. Star like graph and graph with a loop are considered.
ISSN:0094-243X
1551-7616
DOI:10.1063/1.5114299