Ideal quantum clocks and operator time
Quantum Physics
2015-11-10 v2
Abstract
In the framework of any quantum theory in the Schroedinger picture a general operator time concept is given. For this purpose certain systems are emphasized as ideal quantum clocks. Their definition follows heuristically from a common property of ideal clocks and from general postulates of traditional quantum theory. Any such ideal quantum clock allows the definition of a symmetric time operator T. T and the Hamiltonian H necessarily satisfy the time-energy uncertainty relation. The argument of Pauli against the existence of any time operator does not strike, because T is symmetric but not selfadjoint.
Cite
@article{arxiv.1305.0949,
title = {Ideal quantum clocks and operator time},
author = {Walter Gessner},
journal= {arXiv preprint arXiv:1305.0949},
year = {2015}
}