QUANTUM CHAOS ON GRAPHS: COMBINATORICS, RANDOM MATRIX THEORY AND RANDOM WAVES

Professor Uzy Smilansky,Physics of Complex Systems, Weizmann Institute<br>

9.01.12, 12:00
Room 426/8

The spectrum and eigenvectors of the discrete Shroedinger operator on regular graphs display many features which are typical of quantum systems with a chaotic classical dynamics. In this talk I shall describe the findings, compare them to the predictions of random matrix theory and random wave models, and explain their combinatorial origin. No knowledge of graph theory is required.

 


 

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