D. A. Eremin, E. N. Grishanov, O. G. Kostrov, D. S. Nikiforov, I. Yu. Popov, “Time dependent quantum graph with loop”, Nanosystems: Physics, Chemistry, Mathematics, 2017, Volume 8, Issue 4,Pages <nobr>420

This article is cited in 2 papers

MATHEMATICS

Time dependent quantum graph with loop

D. A. Eremin^a, E. N. Grishanov^a, O. G. Kostrov^a, D. S. Nikiforov^b, I. Yu. Popov^b

^a Department of Mathematics and IT, Ogarev Mordovia State University Bolshevistskaya Str. 68, Saransk, Russia
^b Department of Higher Mathematics, ITMO University, Kroverkskiy pr. 49, St. Petersburg, 197101, Russia

Abstract: A quantum graph, consisting of a ring and segment is considered. We deal with the free Schrödinger ooperator at the edges and Kirchhoff conditions at the internal vertex. The lengths of the graph edges varies in time. Time evolution of wave packet is studied for different parameters of length varying law.

Keywords: quantum graph, spectrum, time evolution.

PACS: 03.65.-w, 02.30.Tb, 02.10.Db, 73.63.Nm

Received: 26.05.2017
Revised: 20.06.2017

Language: English

DOI: 10.17586/2220-8054-2017-8-4-420-425