PMID: 11909404Mar 23, 2002Paper

Percolation model for nodal domains of chaotic wave functions

Physical Review Letters
E Bogomolny, C Schmit

Abstract

Nodal domains are regions where a function has definite sign. In [] it is conjectured that the distribution of nodal domains for quantum eigenfunctions of chaotic systems is universal. We propose a percolationlike model for description of these nodal domains which permits us to calculate all interesting quantities analytically, agrees well with numerical simulations, and due to the relation to percolation theory opens the way to deeper understanding of the structure of chaotic wave functions.

References

Mar 23, 2002·Physical Review Letters·Galya BlumUzy Smilansky

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Citations

Dec 18, 2013·Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences·Sven Gnutzmann, Stylianos Lois
Mar 23, 2002·Physical Review Letters·Galya BlumUzy Smilansky
Oct 10, 2006·Physical Review Letters·Sven GnutzmannUzy Smilansky
Aug 16, 2006·Physical Review Letters·J P KeatingI G Williams
May 16, 2007·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·C C ChenK F Huang
Nov 13, 2008·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·B DietzF Schäfer
Oct 8, 2016·Physical Review Letters·Alessandro Principi, Mikhail I Katsnelson
Nov 6, 2018·Probability Theory and Related Fields·Dmitry Beliaev, Igor Wigman
Dec 17, 2004·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Nazar SavytskyyLeszek Sirko
May 16, 2007·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·U KuhlS Gnutzmann
Feb 21, 2006·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Oleh HulLeszek Sirko
Feb 21, 2006·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Hirokazu Aiba, Toru Suzuki
Sep 21, 2002·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Karl-Fredrik BerggrenAnton A Starikov
Jul 30, 2011·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Oleh Hul, Leszek Sirko
Mar 21, 2008·Physical Review Letters·Kevin O'HolleranMiles J Padgett

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