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Quantum chaos in the Wigner representation
G. P. Berman1, A. R. Kolovskii, F. M. Izrailev
1L. V. Kirenskii Institute of Physics, Siberian Branch of the Academy of Sciences of the USSR, 660036 Krasnoyarsk, USSRInstitute of Nuclear Physics, Siberian Branch of the Academy of Sciences of the USSR, 630090 Novosibirsk, USSRL. V. Kirenskii Institute of Physics, Siberian Branch of the Academy of Sciences of the USSR, 660036 Krasnoyarsk, USSR.
Abstract:
The dynamics of a familiar model of stochastic behavior-the quantum kicked rotator-is analyzed in the Wigner representation. Exact nonlocal maps defined on a discrete phase space are derived. The basic dynamics of a quantum kicked rotator can be described satisfactorily by means of a simplified map that incorporates only the discrete nature of the phase space.