Scars of the Wigner Function.
We propose a picture of Wigner function scars as a sequence of concentric rings along a two-dimensional surface inside a periodic orbit. This is verified for a two-dimensional plane that contains a classical hyperbolic orbit of a Hamiltonian system with 2 degrees of freedom. The stationary wave functions are the familiar mixture of scarred and random waves, but the spectral average of the Wigner functions in part of the plane is nearly that of a harmonic oscillator and individual states are also remarkably regular. These results are interpreted in terms of the semiclassical picture of chords and centers.
Toscano
F
Centro Brasileiro de Pesquisas Físicas, Rua Xavier Sigaud 150, 22290-180, RJ, Rio de Janeiro, Brazil and Instituto de Física, Universidade do Estado do Rio de Janeiro, R. São Francisco Xavier 524, 20559-900, RJ, Rio de Janeiro, Brazil.
de Aguiar MA
Ozorio De Almeida AM