Symmetries and time operators

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.

References in corpus (2)

• Manufacturing time operators: covariance, selection criteria, and examples
• Relation between quantum dwell times and flux-flux correlations

Cited by in corpus (6)

• Times of Arrival and Gauge Invariance
• A self-adjoint arrival time operator inspired by measurement models
• Can the double-slit experiment distinguish between quantum interpretations?
• Self-Adjoint Time Operator of a Quantum Field
• Proper time operator and its uncertainty relation
• Non-Heisenbergian quantum mechanics