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I am a postdoc member at the Institute for Advanced Study, Princeton. My field of research is mathematical physics.

Topics of Interest:

  • Quantum graphs

  • Quantum chaos

  • Spectral geometry

  • Generic properties of eigenfunctions

Contact

lalon@ias.edu

215 Simoni, Institute for Advanced Study, Princeton 

 

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.

ezgif.com-gif-maker.gif
 

Research

Video

Publications

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

Nodal statistics on quantum graphs

L Alon, R Band, G Berkolaiko (2017)

Communications in Mathematical Physics 362 (3), 909-948. arXiv 1709.10413

Neumann domains on graphs and manifolds

L Alon, R Band, M Bersudsky, S Egger (2020)

Analysis and Geometry on Graphs and Manifolds 461, 203. arXiv 1805.07612

Neumann domains on quantum graphs

L Alon, R Band (2021)
Annals of Henri Poincare,22, 3391 - 3454. arXiv 1911.12435

Preprints

Universality of nodal count distribution in large metric graphs

L Alon, R Band, G Berkolaiko
arXiv 2106.06096

Ph.D. thesis

Quantum graphs - Generic eigenfunctions and their nodal count and Neumann count statistics

L Alon

arXiv 2010.03004

 

Related Images

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

Secular manifold
XxT.jpg
secular manifold
secular manifold
An eigenfunction on a graph
 

Teaching (T.A) Notes

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.

 

Contact

Institute for Advanced study

Office: S-215
Home Address: 110 Oppenheimer Lane
Email: lalon@ias.edu

Secondary Email: