NEW DEVELOPMENTS IN THE STUDY OFTIMEAS A QUANTUM OBSERVABLE
V. S. Olkhovsky, Erasmo Recami
Some results are briefly 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 (i.e., in first-quantization quantum electrodynamics).
International Journal of Modern Physics B•May 10, 2008•21 citations