In:
The Journal of Chemical Physics, AIP Publishing, Vol. 33, No. 5 ( 1960-11-01), p. 1479-1484
Abstract:
It is shown that if 〈 A (t) 〉 is the expectation value of a real observable A at time t, then for a finite closed dynamical system 〈 A (t) 〉 can converge to a limit as t→ ∞ only if 〈 A (t) 〉 is altogether independent of t. This conclusion is unaffected by time-smoothing or coarse-graining. On the other hand, for an infinite system whose energy levels form a purely continuous spectrum, 〈 A (t) 〉 tends to a limit as t→ ∞ under very general conditions. This conclusion does not depend on the introduction of either time-smoothing or coarse-graining.
Type of Medium:
Online Resource
ISSN:
0021-9606
,
1089-7690
Language:
English
Publisher:
AIP Publishing
Publication Date:
1960
detail.hit.zdb_id:
3113-6
detail.hit.zdb_id:
1473050-9
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