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Mean relaxation time description of quasi-dissipative behavior in finite-state quantum systems

✍ Scribed by W. Nadler; R.A. Marcus


Publisher
Elsevier Science
Year
1988
Tongue
English
Weight
515 KB
Volume
144
Category
Article
ISSN
0009-2614

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✦ Synopsis


An approximately single-exponential decay of an initially prepared non-stationary state can occur in quantum systems even if there are only a finite number of states. The time scale ? of the decay is then much shorter than the recurrence time T of the system. We describe here a method for calculating the probability amplitude of the non-stationary state, observed on a time scale y-r, by a mean relaxation time approximation. In many cases the resulting decay constant T(y) is almost independent of y for 7 g: y -' Q: T, and the value found for it in this regime constitutes the actually observed decay constant.