Time-dependent quantum graph
Mesoscale and Nanoscale Physics
2018-12-11 v1 Disordered Systems and Neural Networks
Mathematical Physics
math.MP
Exactly Solvable and Integrable Systems
Abstract
In this paper we study quantum star graphs with time-dependent bond lengths. Quantum dynamics is treated by solving Schrodinger equation with time-dependent boundary conditions given on graphs. Time-dependence of the average kinetic energy is analyzed. Space-time evolution of the Gaussian wave packet is treated for harmonically breathing star graph.
Keywords
Cite
@article{arxiv.1206.5890,
title = {Time-dependent quantum graph},
author = {D. U. Matrasulov and J. R. Yusupov and K. K. Sabirov and Z. A. Sobirov},
journal= {arXiv preprint arXiv:1206.5890},
year = {2018}
}