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Abstract: We demonstrate that an attempt to measure a non-local in time quantity, suchas the time average $\la A a T$ of a dynamical variable $A$, by separatingFeynman paths into ever narrower exclusive classes traps the system ineigensubspaces of the corresponding operator $\a$. Conversely, in a longmeasurement of $\la A a T$ to a finite accuracy, the system explores itsHilbert space and is driven to a universal steady state in which von Neumannensemble average of $\a$ coincides with $\la A a T$. Both effects areconveniently analysed in terms of singularities and critical points of thecorresponding amplitude distribution and the Zeno-like behaviour is shown to bea consequence of conservation of probability.



Autor: D.Sokolovski

Fuente: https://arxiv.org/







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