A Quantum Graph

This gif shows the evolution of a wave function on a quantum graph.
In this plot we see  |f(x,t)|^2  (the probability density) changing in time according to Schrödinger's equation, starting from a Gaussian of positive velocity.

Research

Video

On a universal limit conjecture for the nodal count statistics of quantum graphs

a talk I gave at the IAS (Oct 2019)

Published papers (or in press)

• Nodal Statistics on Quantum Graphs
  L. Alon, R. Band, G. Berkolaiko
  Communications in Mathematical Physics 362 (2018) p. 909-948.
  arXiv:1709.10413

• Cerenkov radiation from particles carrying orbital angular momentum in a cylindrical waveguide
  Y Shapira, M Mutzafi, G Harari, I Kaminer, L Alon, M Segev
  2016 Conference on Lasers and Electro-Optics (CLEO), 1-2

• Neumann Domains on Graphs and Manifolds 
  L. Alon, R. Band, M. Bersudsky, S. Egger. (In press) proceedings of the conference'Analysis and geometry on graphs and manifolds', Cambridge University Press. arXiv:1805.07612

Preprint

• Neumann Domains on Quantum Graphs
  L. Alon, R. Band 
  arXiv:1911.12435

In preparation

• Generic Eigenfunctions of Quantum Graphs  
  L. Alon

• On a universal limit conjecture for the nodal count statistics of quantum graphs     
  L. Alon, R. Band, G. Berkolaiko  

Related Images

By clicking on each image you can see its description and a link to the relevant poster

Calculus 2

חדו"א 2ת

בלינק הבא תמצאו את התירגולים שלי בחדוא 2ת.  תירגלתי את הקורס בשנים 2015-2019

You can find my tutorial notes in the following link. These are in Hebrew

Complex Analysis

תורת הפונקציות (פונקציות מרוכבות)

בלינק הבא תמצאו את התירגולים שלי בתורת הפונקציות. תירגלתי את הקורס בחורף 18\19

You can find my tutorial notes in the following link.