Symmetries and time operators
Quantum Physics
2015-05-19 v1
Abstract
All covariant time operators with normalized probability distribution are derived. Symmetry criteria are invoked to arrive at a unique expression for a given Hamiltonian. As an application, a well known result for the arrival time distribution of a free particle is generalized and extended. Interestingly, the resulting arrival time distribution operator is connected to a particular, positive, quantization of the classical current. For particles in a potential we also introduce and study the notion of conditional arrival-time distribution.
Cite
@article{arxiv.1008.4731,
title = {Symmetries and time operators},
author = {G. C. Hegerfeldt and J. G. Muga},
journal= {arXiv preprint arXiv:1008.4731},
year = {2015}
}