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ARPN Journal of Science and Technology >> Volume 7, Issue 1, January 2017

ARPN Journal of Science and Technology

Time as a Quantum Observable, Canonically Conjugated to Energy, and Time-Dependent Analysis of Quantum Processes

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Author V.S.Olkhovsky
ISSN 2225-7217
On Pages 110-117
Volume No. 4
Issue No. 2
Issue Date March 01, 2014
Publishing Date March 01, 2014
Keywords time, maximal hermitian operator, continuous energy spectrum, discrete energy spectrum, time-energy indeterminacy relation, time analysis of tunneling processes


The review of the author papers and also of papers of the other authors is presented time in quantum mechanics and quantum electrodynamics as an observable, canonically conjugate to energy. This report deals with the maximal hermitian (but non-self-adjoint) operator for time which appears for systems with continuous energy spectra. Two measures of averaging over time and connection between them are analyzed. The results of the study of time as a quantum observable in the cases of the discrete energy spectra are also presented, and in this case the quasi-self-adjoint time operator appears. Then some applications of time analysis of quantum processes are shortly reviewed.

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