Symmetries and time operators

Details Symmetries and time operators Symmetries and time operators

2010-08-27

arxiv.org/abs/1008.4731v1

Physics

Quantum Physics

Scientific paper

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.

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