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chao-dyn1997★ 21 cited
Chaotic eigenfunctions in phase space
S. Nonnenmacher, A. Voros
We study individual eigenstates of quantized area-preserving maps on the 2-torus which are classically chaotic. In order to analyze their semiclassical behavior, we use the Bargman…
chao-dyn1997★ 24 cited
Crystal properties of eigenstates for quantum cat maps
S. Nonnenmacher
Using the Bargmann-Husimi representation of quantum mechanics on a torus phase space, we study analytically eigenstates of quantized cat maps. The linearity of these maps implies a…
chao-dyn1996★ 44 cited
Eigenstate structures around a hyperbolic point
S. Nonnenmacher, A. Voros
Using coherent-state representations of quantum mechanics (Bargmann, Husimi, and stellar representations), we describe analytically the phase-space structure of the general eigenst…