47 citations · 204 across the 22 of their papers we have counts for
8 papers · 1 filter
Generalized random matrix conjecture for chaotic systems
P. Leboeuf, A. G. Monastra
The eigenvalues of quantum chaotic systems have been conjectured to follow, in the large energy limit, the statistical distribution of eigenvalues of random ensembles of matrices o…
Constraint on periodic orbits of chaotic systems given by Random Matrix Theory
Alejandro G. Monastra
Considering the fluctuations of spectral functions, we prove that if chaotic systems fulfill the Bohigas-Gianonni-Schmit (BGS) conjecture, which relates their spectral statistics t…
Universality in the flooding of regular islands by chaotic states
Arnd Bäcker, Roland Ketzmerick, Alejandro G. Monastra
We investigate the structure of eigenstates in systems with a mixed phase space in terms of their projection onto individual regular tori. Depending on dynamical tunneling rates an…
Flooding of regular islands by chaotic states
A. Bäcker, R. Ketzmerick, A. G. Monastra
We introduce a criterion for the existence of regular states in systems with a mixed phase space. If this condition is not fulfilled chaotic eigenstates substantially extend into a…
Avoided intersections of nodal lines
Alejandro G. Monastra, Uzy Smilansky, Sven Gnutzmann
We consider real eigen-functions of the Schrödinger operator in 2-d. The nodal lines of separable systems form a regular grid, and the number of nodal crossings equals the number o…
Nodal domain distributions for quantum maps
J. P. Keating, F. Mezzadri, A. G. Monastra
The statistics of the nodal lines and nodal domains of the eigenfunctions of quantum billiards have recently been observed to be fingerprints of the chaoticity of the underlying cl…