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- W1991457597 abstract "We develop a semiclassical approximation for the spectral Wigner and Husimi functions in the neighbourhood of a classically unstable periodic orbit of chaotic two dimensional maps. The prediction of hyperbolic fringes for the Wigner function, asymptotic to the stable and unstable manifolds, is verified computationally for a (linear) cat map, after the theory is adapted to a discrete phase space appropriate to a quantized torus. The characteristic fringe patterns can be distinguished even for quasi-energies where the fixed point is not Bohr-quantized. The corresponding Husimi function dampens these fringes with a Gaussian envelope centered on the periodic point. Even though the hyperbolic structure is then barely perceptible, more periodic points stand out due to the weakened interference." @default.
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- W1991457597 date "2002-03-18" @default.
- W1991457597 modified "2023-10-16" @default.
- W1991457597 title "Hyperbolic scar patterns in phase space" @default.
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- W1991457597 doi "https://doi.org/10.1088/0951-7715/15/3/309" @default.
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