TY - JOUR
T1 - On the independence of correlated events
AU - Levine, R. D.
PY - 1999
Y1 - 1999
N2 - Why do some quite complex events appear to be built up from seemingly independent elementary events? It is, of course, fortunate that this is so, for otherwise, it would be hard to analyze the world around us. But the technical question remains. It is here argued that a sufficient condition is that the possible complex events all have the same sum(s) for (one or more) additive variable(s). Constants of the motion are one example of such variables. In addition, it is shown that the independent distribution of the elementary events is one of maximal entropy.
AB - Why do some quite complex events appear to be built up from seemingly independent elementary events? It is, of course, fortunate that this is so, for otherwise, it would be hard to analyze the world around us. But the technical question remains. It is here argued that a sufficient condition is that the possible complex events all have the same sum(s) for (one or more) additive variable(s). Constants of the motion are one example of such variables. In addition, it is shown that the independent distribution of the elementary events is one of maximal entropy.
UR - http://www.scopus.com/inward/record.url?scp=3643110878&partnerID=8YFLogxK
U2 - 10.1002/(SICI)1097-461X(1999)74:5<467::AID-QUA4>3.0.CO;2-E
DO - 10.1002/(SICI)1097-461X(1999)74:5<467::AID-QUA4>3.0.CO;2-E
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AN - SCOPUS:3643110878
SN - 0020-7608
VL - 74
SP - 467
EP - 478
JO - International Journal of Quantum Chemistry
JF - International Journal of Quantum Chemistry
IS - 5
ER -