Journal
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
Volume 356, Issue 1, Pages 72-77Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.physa.2005.05.015
Keywords
Wigner function; finite Hilbert-space dimension; toroidal phase space; propagator; scars; quantum baker map
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We construct, using simple geometrical arguments, a Wigner function defined on a discrete phase space of arbitrary integer Hilbert-space dimension that is free of redundancies. Ghost images plaguing other Wigner functions for discrete phase spaces are thus revealed as artifacts. It allows to devise a corresponding phase-space propagator in an unambiguous manner. We apply our definitions to eigenstates and propagator of the quantum baker map. Scars on unstable periodic points of the corresponding classical map become visible with unprecedented resolution. (c) 2005 Elsevier B.V. All rights reserved.
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