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I am trying to read Hugh Everetts thesis about the universal wave function, which is now called the many worlds interpretation of QM.
At page 53 ff. he discusses measurements. He talks about a system composed by two state functions, saying that the two subsystems can be considered as measuring each other, using two operators A(t) and B(t) representing those measurements. The he writes (p. 54):
What is he talking about?
At page 53 ff. he discusses measurements. He talks about a system composed by two state functions, saying that the two subsystems can be considered as measuring each other, using two operators A(t) and B(t) representing those measurements. The he writes (p. 54):
I don't understand this at all. To me, a measurement is instantaneous. You apply a measuring apparatus, read it, and you are done. The short time this procedure takes is negligible, says my intuition. Yet, Everett is talking about a process where the time tends to ∞.Hugh Everett said:Such a viewpoint, however, does not correspond closely with our intuitive idea of what constitutes "measurement," since the quantities A and B which turn out to be measured depend not only on the time, but also upon the initial state of the composite system. A more reasonable position is to associate the term "measurement" with a fixed interaction H between systems, and to define the "measured quantities" not as those quantities A(t), B(t) which are instantaneously canonically correlated, but as the limit of the instantaneous canonical operators as the time goes to infinity, A∞, B∞ provided that this limit exists and is independent of the initial state.
What is he talking about?