Ergodic properties of the quantum ideal gas in the Maxwell-Boltzmann statistics

Journal of Mathematical Physics

Volumn 37, Issue 10, 1996, Pages 5136-5157

  Lenci, Marco ^a,b  

^a UNIVERSITY OF BOLOGNA   (Italy)

^b PRINCETON UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030518839     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.531684     Document Type: Article

References (30)

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12. L.
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15. On the other hand, we stress that this paper does not involve any kind of semiclassical limit.
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18. L. The same for d v in the following.
19. L) we will drop that subscript.
20. B,L(1)=1.
21. Notice that we are using 2β instead of β in the remainder.
22. We are not granted, in principle, all the equivalent ergodicity and mixing properties recalled in that reference, since we have not proved asymptotic commutativity.
23. Not to be confused with the inverse temperature β, a fixed parameter throughout this paper.
24. ℱ(·) denotes the Schwartz class.
25. |·| denotes the Lebesgue measure.
26. L,m.
27. L. See again Sec. 3 of the Appendix.
28. |L2(k)(TmL) as explained in Sec. II B.
29. m,dk))×some measure.
30. I thank D. Dolgopyat for this simple proof.