Bereiche | Tage | Auswahl | Suche | Aktualisierungen | Downloads | Hilfe
DY: Fachverband Dynamik und Statistische Physik
DY 42: Poster: Quantum Dynamics and Many-body Systems (joint session DY/TT)
DY 42.15: Poster
Mittwoch, 11. März 2026, 15:00–18:00, P5
Anomalous Dynamics in Complex Quantum Systems — •Irina Petreska1, Pece Trajanovski1,2, Ervin Kaminski Lenzi3, and Trifce Sandev1,2,4 — 1Ss. Cyril and Methodius University in Skopje, Macedonia — 2Macedonian Academy of Sciences and Arts, Skopje, Macedonia — 3Universidade Estadual de Maringá, Maringá, Brazil — 4Korea University, Seoul, Korea
We will give an overview of our recent works related to some generalizations of the Schrödinger equation. Special attention will be paid to the fractional Schrödinger equation, pointing out physical examples where the time-fractional Schrödinger equation naturally emerges under certain geometric constraints. Additionally, we include a long-range interaction term, modeled by an integral operator, which captures spatial nonlocalities. Using the Green’s function approach, we derive analytical solutions and explore their implications in the time-space domain. Our findings reveal anomalous behavior arising from the interplay of fractional dynamics, nonlocal potentials and memory effects.
Keywords: Fractional Schrödinger equation; Green's functions; Non-local interactions; Anomalous quantum dynamics