Open AccessTime in Quantum Measurements
Author(s) -
M. Hossein Partovi,
R. Blankenbecler
Publication year - 1986
Publication title -
physical review letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 3.688
H-Index - 673
eISSN - 1079-7114
pISSN - 0031-9007
DOI - 10.1103/physrevlett.57.2887
Subject(s) - physics , formalism (music) , quantum mechanics , dispersion relation , energy (signal processing) , mathematical physics , art , musical , visual arts
Our formalism for describing quantum measurements is generalized to the multitime case and used to derive rigorous time-energy uncertainty relations. For a free particle, we find that TdeltaHgreater than or equal to(1/2), where deltaH is the dispersion in energy and T is the measurement duration as given by an external clock of arbitrarily high accuracy. Moreover, any system used as a clock obeys deltatdeltaHgreater than or equal to(1/2), where deltat is the dispersion in the values of time as measured by the system.
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