Article (Scientific journals)
SLE description of the nodal lines of random wavefunctions
Bogomolny, E.; Dubertrand, Rémy; Schmit, C.
2007In Journal of Physics. A, Mathematical and General, 40, p. 381-395
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Keywords :
Quantum chaos; Semiclassical methods; Percolation
Abstract :
[en] The nodal lines of random wavefunctions are investigated. We demonstrate numerically that they are well approximated by the so-called SLE 6 curves which describe the continuum limit of the percolation cluster boundaries. This result gives additional support to the recent conjecture that the nodal domains of random (and chaotic) wavefunctions in the semi-classical limit are adequately described by the critical percolation theory. It is also shown that using the dipolar variant of SLE reduces significantly finite size effects.
Disciplines :
Physics
Author, co-author :
Bogomolny, E.
Dubertrand, Rémy ;  Université de Liège - ULiège > Département de physique > Optique quantique
Schmit, C.
Language :
English
Title :
SLE description of the nodal lines of random wavefunctions
Publication date :
2007
Journal title :
Journal of Physics. A, Mathematical and General
ISSN :
0305-4470
eISSN :
1361-6447
Publisher :
Institute of Physics, Bristol, United Kingdom
Volume :
40
Pages :
381-395
Peer reviewed :
Peer Reviewed verified by ORBi
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since 13 February 2015

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