Abstract
We generalize the classical notion of topological mixing for automorphisms ofC *-algebras in two ways. We show that for Galilean-invariant Fermi systems the weaker form of mixing is satisfied. With some additional requirement on the range of the interaction we can also demonstrate the stronger mixing property.
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References
R. Longo and C. Peligrad,J. Fund. Anal. 58:157 (1984).
A. Kishimoto and D. W. Robinson,J. Oper. Theory 13:237 (1985).
O. Bratteli, G. A. Elliott, and D. W. Robinson,J. Math. Soc. Jpn. 37:115 (1985).
H. Narnhofer, W. Thirring, and H. Wiklicky, Transitivity and ergodicity of quantum systems,J. Stat. Phys., to be published.
S. Sakai,Contemp. Phys. 62:413 (1987).
F. Streater,Commun. Math. Phys. 7:93 (1968).
M. Requardt,J. Phys. A 15 (12):3715 (1982).
W. Amrein, J. Jauch, and K. Sinha,Scattering Theory in Quantum Mechanics (Benjamin, London, 1977).
I. M. Sigal and A. Soffer,N-particle scattering problem, Preprint, Caltech (1985).
M. Reed and B. Simon,Analysis of Operators IV (Academic Press, New York, 1978).
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Narnhofer, H., Thirring, W. Mixing properties of quantum systems. J Stat Phys 57, 811–825 (1989). https://doi.org/10.1007/BF01022834
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DOI: https://doi.org/10.1007/BF01022834