TIME-SMOOTHED ASPECTS OF RATE AND CROSS-SECTION MEASUREMENTS.
BRANDEIS UNIV WALTHAM MASS DEPT OF CHEMISTRY
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The measurement aspects of experiments designed to yield information about rates at which certain processes occur in a system, as well as their relevant cross-sections, are discussed. As a closer approximation to experimental quantities, their time-smoothed theoretical counterparts are dealt with. The asymptotic behavior of these quantities, as the interval of time-smoothing becomes indefinitely large, are examined. In the long-term time averaged sense, it is shown that cross-sections computed from transition probabilities or rates of change of transition probability yield equivalent results in the limit of the system approaching a zero value of its density. The equivalence of the cross-section based upon a stationary state formalism is also established. The formal equivalence holds for many-particle systems. Author
- Physical Chemistry
- Nuclear Physics and Elementary Particle Physics