The approach to thermal equilibrium and "thermodynamic normality" --- An observation based on the works by Goldstein, Lebowitz, Mastrodonato, Tumulka, and Zanghi in 2009, and by von Neumann in 1929

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S. Goldstein, J. L. Lebowitz, R. Tumulka, N. Zanghì: Long-Time Behavior of Macroscopic Quantum Systems: Commentary Accompanying the English Translation of John von Neumann’s 1929 Article on the Quantum Ergodic Theorem, arXiv:1003.2129
Original
1929
Earlier work this paper cites.
J. von Neumann: Beweis des Ergodensatzes und des H H -Theorems in der neuen Mechanik. Zeitschrift für Physik
Original
1929
Earlier work this paper cites.
K. Ireland, M. Rosen: A Classical Introduction to Modern Number Theory
1990
Earlier work this paper cites.
H. Tasaki: Note on “From Quantum Dynamics to the Canonical Distribution: A Rigorous Derivation in Special Models”, unpublished (1997), arXiv:cond-mat/9707255
1997
Earlier work this paper cites.

H. Tasaki: From Quantum Dynamics to the Canonical Distribution: General Picture and a Rigorous Example. Physical Review Letters
1998
Cited alongside, same era.
H. Tasaki: From Nagaoka’s ferromagnetism to flat-band ferromagnetism and beyond: An introduction to ferromagnetism in the Hubbard model, Prog. Theor. Phys
Original
1998
Cited alongside, same era.
H. Tasaki: The second law of Thermodynamics as a theorem in quantum mechanics, unpublished (2000), arXiv:cond-mat/0011321
2000
Cited alongside, same era.
J.-P. Tignol: Galois’ Theory of Algebraic Equations
2001
Cited alongside, same era.
A. Pal, D. A. Huse: The many-body localization transition, arXiv:1003.2613
Original
Cited in the paper.
G. Biroli, C. Kollath, A. Laeuchli: Does thermalization occur in an isolated system after a global quantum quench?, arXiv:0907.3731
Original
Cited in the paper.