%0 Journal Article
%T Symmetries and time operators
%A G. C. Hegerfeldt
%A J. G. Muga
%J Mathematics
%D 2010
%I arXiv
%R 10.1088/1751-8113/43/50/505303
%X 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.
%U http://arxiv.org/abs/1008.4731v1