TIME AS A QUANTUM OBSERVABLE

Authors :: Vladislav S. Olkhovsky
Erasmo Recami
Source :: International Journal of Modern Physics A. 22:5063-5087
Publication Year :: 2007
Publisher :: World Scientific Pub Co Pte Lt, 2007.
Abstract: Some results are reviewed and developments are presented on the study of Time in quantum mechanics as an observable, canonically conjugate to energy. Operators for the observable Time are investigated in particle and photon quantum theory. In particular, this paper deals with the hermitian (more precisely, maximal hermitian, but non-selfadjoint) operator for Time which appears: (i) for particles, in ordinary non-relativistic quantum mechanics; and (ii) for photons, in first-quantization quantum electrodynamics.<br />Comment: 19 pages, including two Figures. [The source-file is in Word]