On the nodal distribution of quantum graphs

TYPEQuantum Information Seminar
Speaker:Lior Alon
Affiliation:Technion
Organizer:Itai Arad
Date:25.03.2018
Time:14:30
Location:Lidow Nathan Rosen (300)
Website:https://doi.org/10.1007/s00220-018-3111-2
Abstract:

I will give a brief introduction to quantum graphs and the nodal count sequence. I will then present the known bounds on the nodal count and define the nodal surplus. Following these I will state a theorem connecting the nodal surplus to the stability of energy levels under magnetic perturbations, and I will present our theorem regarding the statistics of the nodal surplus and its topological dependence.

 

This talk is based on the paper:

Alon, L., Band, R. & Berkolaiko, G. Commun. Math. Phys. (2018). https://doi.org/10.1007/s00220-018-3111-2