Nonlinear Sciences – Chaotic Dynamics
Scientific paper
2001-09-25
Nonlinear Sciences
Chaotic Dynamics
4 pages, 5 figures, revtex
Scientific paper
10.1103/PhysRevLett.88.114101
We consider the distribution of the (properly normalized) numbers of nodal domains of wave functions in 2-$d$ quantum billiards. We show that these distributions distinguish clearly between systems with integrable (separable) or chaotic underlying classical dynamics, and for each case the limiting distribution is universal (system independent). Thus, a new criterion for quantum chaos is provided by the statistics of the wave functions, which complements the well established criterion based on spectral statistics.
Blum Galya
Gnutzmann Sven
Smilansky Uzy
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